Special right triangles Practice Questions (Grade 10)

Special right triangles. Game on.

Special right triangles is a grade 10 math skill aligned to Common Core standard HSG.SRT.C.8: use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 15 special right triangles problems our math games drill.

8 plays. No signup.

Warm-upeasy

In a $30$ - $60$ - $90$ triangle the hypotenuse is $14$ . What is the short leg?

The short leg is half the hypotenuse: $\dfrac{14}{2} = 7$ .

Mid-gameeasy

In a $45$ - $45$ - $90$ triangle one leg is $12$ . What is the other leg?

Both legs of a $45$ - $45$ - $90$ triangle are equal, so the other leg is $12$ .

Mid-gameeasy

In a $30$ - $60$ - $90$ triangle the short leg is $8$ . What is the hypotenuse?

The hypotenuse is twice the short leg: $2 \times 8 = 16$ .

Mid-gameeasy

In a $45$ - $45$ - $90$ triangle one leg is $7$ . What is the other leg?

Both legs of a $45$ - $45$ - $90$ triangle are equal, so the other leg is $7$ .

Mid-gameeasy

In a $30$ - $60$ - $90$ triangle the short leg is $3$ . What is the hypotenuse?

The hypotenuse is twice the short leg: $2 \times 3 = 6$ .

Mid-gameeasy

In a $45$ - $45$ - $90$ triangle one leg is $15$ . What is the other leg?

Both legs of a $45$ - $45$ - $90$ triangle are equal, so the other leg is $15$ .

Mid-gameeasy

In a $30$ - $60$ - $90$ triangle the short leg is $10$ . What is the hypotenuse?

The hypotenuse is twice the short leg: $2 \times 10 = 20$ .

Buzzer beatereasy

In a $45$ - $45$ - $90$ triangle one leg is $20$ . What is the other leg?

Both legs of a $45$ - $45$ - $90$ triangle are equal, so the other leg is $20$ .

Special right triangles. Game on.

8 plays. No signup.

7 more. Played, not assigned.

Drill it inside a game.