Special right triangles & geometric mean

What is the diagonal distance between the two points?

• 10.2 units
• 9.9 units
• 9.3 units
• 8.7 units

• right triangle

• acute triangle

• obtuse triangle

• isosceles triangle

Which set of side lengths does not form a right triangle?

• 300, 400, 500

• 16, 63, 65

• 36, 77, 85

• 14, 15, 29

Find the geometric mean for 5 and 8

• 4

• 10

Use the 45-45-90 theorem to solve for the hypotenuse.

• 16

• 8

Given the long leg in this 30-60-90 triangle, how do you find the hypotenuse?

• Divide 8 by 2

What is the value of altitude a ?

• 10 $\sqrt{3}$

• 10

• 20 $\sqrt{2}$

• 20 $\sqrt{3}$

What is the sum of the legs of the triangle?

• 14 $\sqrt{2}$

• 14

• 7 $\sqrt{4}$

• 21

Determine the area of the entire diagram shown. The area of a triangle is A = ½bh

• 10√2

• 20√2

• 200

• 400

• 12

• 6√2

• 6

• 6√3