SHSAT Triangles Practice Quiz

Question 1

In the figure below, one side of the triangle is extended. What is the value of $x$?

Note: The figure is not necessarily drawn to scale.

Accepted Answer

144°

Answer

148°

Answer

154°

Answer

36°

Question 2

A triangle has a base of $5$ and a height of $10$. What is its area?

Accepted Answer

$25$

Answer

$50$

Answer

$15$

Answer

$30$

Question 3

The altitude to the hypotenuse of a right triangle with legs 6 and 8 has what length? Give the answer as a fraction in simplest form.

Accepted Answer

$\frac{24}{5}$

Answer

7

Answer

$\frac{48}{10}$

Answer

5

Question 4

A triangle has a base of $12$ and a height of $6$. What is its area?

Accepted Answer

$36$

Answer

$72$

Answer

$18$

Answer

$48$

Question 5

In a right triangle with legs of length 9 and 12, what is the length of the hypotenuse?

Accepted Answer

15

Answer

18

Answer

21

Answer

225

Question 6

A triangle has a base of $10$ and a height of $3$. What is its area?

Accepted Answer

$15$

Answer

$30$

Answer

$13$

Answer

$25$

Question 7

In a 30-60-90 triangle, the side opposite the $30°$ angle is 7. What is the length of the hypotenuse?

Accepted Answer

14

Answer

$\frac{7}{2}$

Answer

$7\sqrt{3}$

Answer

$7\sqrt{2}$

Question 8

A triangle has a base of $4$ and a height of $8$. What is its area?

Accepted Answer

$16$

Answer

$20$

Answer

$32$

Answer

$12$

Question 9

Two angles of a triangle measure $x°$ and $(2x + 10)°$. If the third angle is $90°$, find $x$.

Accepted Answer

$\frac{80}{3}$

Answer

$20°$

Answer

$30°$

Answer

$40°$

Question 10

In triangle $PQR$, $PQ = QR$, and the vertex angle $\angle Q = 40°$. Find $\angle P$.

Accepted Answer

$70°$

Answer

$40°$

Answer

$140°$

Answer

$100°$

Triangles Practice Quiz

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