Parts of Right Triangle and Pythagorean Theorem

Parts of Right Triangle

The Pythagorean Theorem, a²+b²=c2,

a²+b²=c², is used to find the length of any side of a right triangle.

In a right triangle, one of the angles has a value of 90 degrees. The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.

If the length of the hypotenuse is labeled c, and the lengths of the other sides are labeled a and b, the Pythagorean Theorem states that a²+b²=c².

Multiple Choice

In the given triangle which is the hypotenuse?

• side AB

• side AC

• side BC

• none of the above

Multiple Choice

In the given triangle what is the side opposite angle A

• side c

• side b

• side a

• all of the above

Multiple Choice

What is the side opposite the 90 degrees angle of a right triangle?

• opposite side

• adjacent side

• hypotenuse

• base

Multiple Choice

In the given triangle, what is the adjacent side of angle B?

• side a

• side b

• side c

• vertex

Multiple Choice

Which of the following is the formula to solve the length of the hypotenuse of the given triangle?

• $a^2\ -\ c^2\ =\ b^2$

• $a^2\ -\ b^2\ =\ c^2$

• $a^2\ +\ c^2\ =\ b^2$

• $a^{2\ }\ +\ b^2\ =\ c^2$

Multiple Choice

In the given triangle the length of side a is 3 and the length of side b is 4, what is the length of side c?

• 4

• 5

• 6

• 7

Multiple Choice

 $\Delta XYZ,\ \angle Y\ =\ 90\circ$ , What is the length of XY if YZ = 5 and XZ = 13? 

• 12

• 14

• 16

• 18

Multiple Choice

In the given triangle, what is the length of side a, if side b and c are 40cm and 41cm respectively?

• 38 cm

• 16 cm

• 9 cm

• 5 cm

Multiple Choice

In the given triangle, what is the length of the hypotenuse if the base is 20 and the altitude is 21?

• 27

• 29

• 31

• 33

Multiple Choice

MN = 12 in

MO = 37 in

How many inches is NO?

• 27

• 29

• 33

• 35

Multiple Choice

MN = 12 in

MO = 37 in

How many inches is NO?

• 27

• 29

• 33

• 35