Special Right Triangles

Determine the value of x.

• x = 8√2

• x = 16√2

• x = 16

• x = 8√6

Determine the value of c.

• c = 6√3

• c = 12√3

• c = 18

• c = 18√2

If the length of the hypotenuse in this triangle is 16, find the length of one leg.

• 8

• $8\sqrt{2}$

• 32

• $16\sqrt{2}$

If the length of the hypotenuse in this triangle is  $30\sqrt{2}$  , find the length of one leg.

If the length of the hypotenuse in this triangle is 7, find the length of the long side.

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• $14$

• $7\sqrt{3}$

• $\frac{7}{2}$

• $\frac{7\sqrt{3}}{2}$

Find the lengths of the missing sides.

• $x=4\sqrt{3},\ y=8\sqrt{3}$

• $x=4,y=8$

• $x=12\sqrt{3},y=24$

• $x=12\sqrt{3},y=24\sqrt{3}$

Find the lengths of the missing sides.

• $x=7,y=7\sqrt{3}$

• $x=7\sqrt{3},y=7$

• $x=7\sqrt{2},y=7\sqrt{6}$

• $x=7\sqrt{6},y=7\sqrt{2}$

A square has side length 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.

• 134.4
• 67.2
• 95√2
• (95√2)/2

A square has diagonal length 13 m. What is the side length of the square, to the nearest centimeter?

• 9.19
• 18.38
• 5.10
• 13

An equilateral triangle has height 26 cm. What is the length of each side of the triangle, to the nearest centimeter?

• 26, 13, 23
• 26, 26, 38
• 26, 15, 30
• 26, 42, 38