Isosceles Right Triangle: Check your understanding

Move any of the two large points (below) anywhere you'd like at any time. Slide the black slider to form an isosceles right triangle. Then, answer the questions that follow.

1.

Use the Angle tool to measure and display the measures of angles A and B. What is each angle measure?

2.

Suppose AB = 10 cm. Determine the length of the hypotenuse AC.

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3.

Suppose hypotenuse AC = 4 cm. Determine the length of leg AB.

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4.

Suppose AB = 5 cm. What is the length of BC?

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5.

Suppose AB = 6 cm. Determine the length of the hypotenuse AC.

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6.

Suppose AB = cm. Determine the length of the hypotenuse AC.

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7.

Suppose hypotenuse AC = cm. Determine the length of the leg BC in its most simplified radical form.

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