Right Triangles Pythagorean Theorem

What type of special triangle is this?

• 45°-45°-90°

• 30°-60°-90°

• Isosceles

• Obtuse

In this 45-45-90 triangle, I have been given the length of a leg.  How do I find the length of the hypotenuse?

• It is the same length as the given leg.

• Multiply that leg's length by √2.

• Multiply that leg's length by 2.

• Divide that leg's length by √2.

I have been given the short leg in this 30-60-90 triangle.  How do I find the long leg?

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

• Divide 4 by 2

Find the value of x.

• 2

• 4

Which statement could you use to make the proof of Pythagorean Theorem using the diagram?

• Because 3+4=7, the Pythagorean Theorem is a²+b²=c².

• Because 9+16=25, the Pythagorean Theorem is a+b=c.

• Because 3+4=7, the Pythagorean Theorem is a+b=c.

• Because 9+16=25, the Pythagorean Theorem is a²+b²=c².

Find the length of the missing side.

• 25 cm

• 42 cm

• 52 cm

• 48 cm

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72

solve for c

• 7

• 9

• 4

• 13

What is the value of x in the right triangle shown?

• 16cm

• 18cm

• 24cm

• √674cm

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet

• 26 feet

• 27 feet

• 28 feet