HSG.SRT.C.8 math practice. Learn by doing.

HSG.SRT.C.8 practice covers use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Work through 8 free questions with answers and explanations, then continue in the related math games.

Grade 10Grade 122 mapped skills
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8 free questions · 0/0 correct

Practice playeasy

In a 3030-6060-9090 triangle the hypotenuse is 1414. What is the short leg?

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

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In a 30∘30^{\circ}-60∘60^{\circ}-90∘90^{\circ} triangle, the short leg is 6.6\textsf{.} What is the hypotenuse?

In a 30∘30^{\circ}-60∘60^{\circ}-90∘90^{\circ} triangle, the hypotenuse is twice the short leg: 2×6=12.2 \times 6 = 12\textsf{.}

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In a 4545-4545-9090 triangle one leg is 1212. What is the other leg?

Both legs of a 4545-4545-9090 triangle are equal, so the other leg is 1212.

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In a 30∘30^{\circ}-60∘60^{\circ}-90∘90^{\circ} triangle, the hypotenuse is 14.14\textsf{.} What is the short leg?

In a 30∘30^{\circ}-60∘60^{\circ}-90∘90^{\circ} triangle, the short leg is half the hypotenuse: 142=7.\dfrac{14}{2} = 7\textsf{.}

Practice playeasy

In a 45∘45^{\circ}-45∘45^{\circ}-90∘90^{\circ} triangle, a leg is 9.9\textsf{.} What is the hypotenuse?

In a 45∘45^{\circ}-45∘45^{\circ}-90∘90^{\circ} triangle, the hypotenuse is a leg times 2:\sqrt{2}\textsf{:} 92.9\sqrt{2}\textsf{.}

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In a 30∘30^{\circ}-60∘60^{\circ}-90∘90^{\circ} triangle, the short leg is 9.9\textsf{.} What is the hypotenuse?

In a 30∘30^{\circ}-60∘60^{\circ}-90∘90^{\circ} triangle, the hypotenuse is twice the short leg: 2×9=18.2 \times 9 = 18\textsf{.}

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In a 3030-6060-9090 triangle the short leg is 88. What is the hypotenuse?

The hypotenuse is twice the short leg: 2×8=162 \times 8 = 16.

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In a 30∘30^{\circ}-60∘60^{\circ}-90∘90^{\circ} triangle, the short leg is 7.7\textsf{.} What is the hypotenuse?

In a 30∘30^{\circ}-60∘60^{\circ}-90∘90^{\circ} triangle, the hypotenuse is twice the short leg: 2×7=14.2 \times 7 = 14\textsf{.}

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