Isosceles Right Triangle: Check your understanding

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

1.

Use the [b]Angle[/b] tool to measure and display the measures of angles [i]A[/i] and [i]B[/i]. What is each angle measure?

2.

Suppose [i]AB[/i] = 10 cm. Determine the length of the hypotenuse AC.

[math]10\sqrt{2}[/math] [math]10[/math] [math]5[/math] [math]5\sqrt{2}[/math]

3.

Suppose [b]hypotenuse[/b] A[i]C[/i] = 4 cm. Determine the length of leg AB.

[math]2\sqrt{2}[/math] [math]4\sqrt{2}[/math] [math]2[/math] [math]4[/math]

4.

Suppose [i]AB[/i] = 5 cm. What is the length of BC?

[math]5[/math] [math]10[/math] [math]5\sqrt{2}[/math] [math]\frac{5\sqrt{2}}{2}[/math]

5.

Suppose [i]AB[/i] = 6 cm. Determine the length of the hypotenuse AC.

[math]3\sqrt{2}[/math] [math]12\sqrt{2}[/math] [math]6[/math] [math]6\sqrt{2}[/math]

6.

Suppose [i]AB[/i] = [math]x[/math] cm. Determine the length of the hypotenuse AC.

[math]x\sqrt{2}[/math] [math]x[/math] [math]\frac{x\sqrt{2}}{2}[/math] [math]2x[/math]

7.

Suppose hypotenuse [i]AC[/i] = [math]x[/math] cm. Determine the length of the leg BC in its [b]most[/b] simplified radical form.

[math]x\sqrt{2}[/math] [math]\frac{x}{\sqrt{2}}[/math] [math]\frac{x\sqrt{2}}{2}[/math] [math]x[/math]

Isosceles Right Triangle: Check your understanding

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Information: Isosceles Right Triangle: Check your understanding