4-8 practice with triangle theorems web view04.11.2016 · 4-8: practice with triangle...
TRANSCRIPT
![Page 1: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/1.jpg)
Geometry/TrigName: ______________________________Date: _______________________________
Lesson 4-8: Practice with Triangle Theorems
1. Solve for the length of side BC? Leave your answer in simplest radical form.
2. Given Triangle ABC, m∡A = 30°, m∡B = 2x°, m∡C = 70°
a. find the measurement of angle B.
b. What is the largest side of triangle ABC? Explain your answer.
c. Is triangle ABC acute, obtuse, or right? Explain your answer.
3. Which numbers could represent the lengths of the sides of a triangle?
(a) 3, 6, 8
(b) 5, 9, 14
(c) 1, 2, 4
(d) 7, 7, 15
![Page 2: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/2.jpg)
Geometry/Trig4. a) In ∆ABC, m∠A = x° and m∠B = 2x+2° and m∠C = 3x+4°, what is the value of x?
b) According to its angles, what type of triangle is this?
c) What side of ∆ABC is the shortest?
5. Solve for x and explain how you got your answer.
6. If ∠SAT = ∠RAS, solve for ∠AST.Hint: What do you know about all the angles in a triangle?
![Page 3: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/3.jpg)
Geometry/Trig7. In the diagram of below AB≅ AC .
a) What type of triangle is this? Explain how you know.
b) The measure of ∡B is 40°. State the measure of ∡ A. Explain how you arrived at your answer.
8. Determine whether the given triangle is a right triangle. Explain how you arrived at your answer.
9. If (56, 90, y) are the sides of a right triangle, where y is the largest side, what is the value of y? Leave your answer in
simplest radical form, if necessary.
Hint: Mark your picture first!
![Page 4: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/4.jpg)
Geometry/Trig
Triangle inequality
theorem
smallest + medium > largest
side side side
![Page 5: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/5.jpg)
Geometry/Trig
How do we determine if three side
lengths form a triangle?
Pythagorea
![Page 6: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/6.jpg)
Geometry/Trig
n Theorem
a2 +b2 = c2
![Page 7: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/7.jpg)
Geometry/Trig
Do these three sides form a right
triangle?A triangle
with 2
![Page 8: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/8.jpg)
Geometry/Trig
congruent sides.
![Page 9: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/9.jpg)
Geometry/Trig
To do this I need to know ….
![Page 10: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/10.jpg)
Geometry/Trig
Isosceles TriangleThe sum of all
interior angles in a triangle
![Page 11: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/11.jpg)
Geometry/Trig
360
Which angle pair is
congruent?
![Page 12: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/12.jpg)
Geometry/Trig
Vertical Angles
![Page 13: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/13.jpg)
Geometry/Trig
These are _____ angles.
When all angles in a
![Page 14: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/14.jpg)
Geometry/Trig
triangle are acute
This is a ______ triangle.
![Page 15: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/15.jpg)
Geometry/Trig
Find a triangle that
is acute.When no sides
in a triangle are congruent.
![Page 16: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/16.jpg)
Geometry/Trig
This is a _____ triangle.
![Page 17: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/17.jpg)
Geometry/Trig
Scalene triangle
![Page 18: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/18.jpg)
Geometry/Trig
Side-angle relationshi
pI’m across from the biggest
![Page 19: 4-8 Practice with Triangle Theorems Web view04.11.2016 · 4-8: Practice with Triangle Theorems. Solve for the length of side BC? Leave your answer in simplest radical form. Given](https://reader037.vdocuments.site/reader037/viewer/2022083122/5a9db9e27f8b9a85318be12c/html5/thumbnails/19.jpg)
Geometry/Trig
side. What am I?
I am the biggest angle in a triangle. Where am I?