Acute / Obtuse Triangles

Practice Questions

SSAT Upper Level Quantitative (Math) › Acute / Obtuse Triangles

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1

$\bigtriangleup ABC \sim \bigtriangleup DEF$ .

$m\angle A + m\angle D = 94^{\circ }$

$m\angle B + m\angle F = 94^{\circ }$

Evaluate $m \angle C + m \angle E$ .

2

$\bigtriangleup ABC \sim \bigtriangleup DEF$ ; ; $\bigtriangleup DEF$ has perimeter 300.

Evaluate .

3

$\bigtriangleup ABC \sim \bigtriangleup DEF$ ; ; $\bigtriangleup DEF$ has perimeter 400.

Which of the following is equal to $DF \div DE$ ?

4

$\bigtriangleup ABC \sim \bigtriangleup DEF$ ; ; ; $\bigtriangleup DEF$ has perimeter 90.

Give the perimeter of $\bigtriangleup ABC$ .

5

A triangle has side lengths , , and . What is the perimeter of this triangle?

6

$\bigtriangleup ABC \sim \bigtriangleup DEF$ .

$m\angle A + m\angle D = 94^{\circ }$

$m\angle B + m\angle F = 94^{\circ }$

Evaluate $m \angle C + m \angle E$ .

7

Given: $\bigtriangleup ABC$ and $\bigtriangleup DEF$ ; $\angle A \cong \angle D$ and $\angle C \cong \angle F$ .

Which of the following statements would not be enough, along with what is given, to prove that $\bigtriangleup ABC \sim \bigtriangleup DEF$ ?

8

The base of a triangle is inches, and the height of the triangle is inches. In terms of , what is the area of the triangle?

9

The area of a triangle is , and the base of the triangle is . What is the height for this triangle?

10

A triangle has side lengths , , and . What is the perimeter of this triangle?

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