SHSAT Math · Geometry

Triangles Practice

Triangle properties, Pythagorean theorem, and similarity. This is one of the skills tested on the SHSAT; the 2026 exam is computer-based with 50 Math questions in a 90-minute section. Try the samples below, then practice the full topic with instant feedback and explanations.

Free sample questions

Question 1

A triangle has two angles measuring

41^{\circ}

and

68^{\circ}

. What is the measure of the third angle?

A $19^{\circ}$
B $109^{\circ}$
C $81^{\circ}$
D $71^{\circ}$

Show answer and explanation

Answer: D

The angles of a triangle sum to

180^{\circ}

180^{\circ} - 41^{\circ} - 68^{\circ} = 71^{\circ}

Question 2

A triangle has a base of

5

and a height of

10

. What is its area?

A $25$
B $50$
C $15$
D $30$

Show answer and explanation

Answer: A

Area of a triangle is

\frac{1}{2} \times \text{base} \times \text{height}

\frac{1}{2} \times 5 \times 10 = 25

Question 3

The altitude to the hypotenuse of a right triangle with legs 6 and 8 has what length?

A7
B $\frac{48}{10}$
C $\frac{24}{5}$
D5

Show answer and explanation

Answer: C

Hypotenuse = 10. Area =

\frac{1}{2} \times 6 \times 8 = 24

. Also Area =

\frac{1}{2} \times 10 \times h

, so

24 = 5h

, thus

h = \frac{24}{5}

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Triangles Practice

Free sample questions

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