HSG.SRT.D.10 math practice. Learn by doing.

HSG.SRT.D.10 practice covers prove the Laws of Sines and Cosines and use them to solve problems. Work through 8 free questions with answers and explanations, then continue in the related math games.

Grade 121 mapped skills
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8 free questions · 0/0 correct

Practice playeasy

In a 30°30°-60°60°-90°90° triangle, the short leg is 66. What is the hypotenuse?

The hypotenuse is twice the short leg: 2×6=122 \times 6 = 12.

Practice playeasy

In a 45°45°-45°45°-90°90° triangle, the hypotenuse is 525\sqrt{2}. What is each leg?

Each leg =hypotenuse2=522=5= \dfrac{\text{hypotenuse}}{\sqrt{2}} = \dfrac{5\sqrt{2}}{\sqrt{2}} = 5.

Practice playeasy

In a 30°30°-60°60°-90°90° triangle, the hypotenuse is 1414. What is the short leg?

The short leg is half the hypotenuse: 142=7\dfrac{14}{2} = 7.

Practice playeasy

In a 45°45°-45°45°-90°90° triangle, the hypotenuse is 828\sqrt{2}. What is each leg?

Each leg =hypotenuse2=822=8= \dfrac{\text{hypotenuse}}{\sqrt{2}} = \dfrac{8\sqrt{2}}{\sqrt{2}} = 8.

Practice playeasy

In a 30°30°-60°60°-90°90° triangle, the short leg is 99. What is the hypotenuse?

The hypotenuse is twice the short leg: 2×9=182 \times 9 = 18.

Practice playeasy

In a 30°30°-60°60°-90°90° triangle, the short leg is 77. What is the hypotenuse?

The hypotenuse is twice the short leg: 2×7=142 \times 7 = 14.

Practice playeasy

In a 30°30°-60°60°-90°90° triangle, the hypotenuse is 1616. What is the short leg?

The short leg is half the hypotenuse: 162=8\dfrac{16}{2} = 8.

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In a 30°30°-60°60°-90°90° triangle, the short leg is 1010. What is the hypotenuse?

The hypotenuse is twice the short leg: 2×10=202 \times 10 = 20.

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