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

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?

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!

Geometry/Trig

Triangle inequality

theorem

smallest + medium > largest

side side side

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How do we determine if three side

lengths form a triangle?

Pythagorea

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n Theorem

a2 +b2 = c2

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Do these three sides form a right

triangle?A triangle

with 2

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congruent sides.

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To do this I need to know ….

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Isosceles TriangleThe sum of all

interior angles in a triangle

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360

Which angle pair is

congruent?

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Vertical Angles

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These are _____ angles.

When all angles in a

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triangle are acute

This is a ______ triangle.

Geometry/Trig

Find a triangle that

is acute.When no sides

in a triangle are congruent.

Geometry/Trig

This is a _____ triangle.

Geometry/Trig

Scalene triangle

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Side-angle relationshi

pI’m across from the biggest

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side. What am I?

I am the biggest angle in a triangle. Where am I?