Question

Find the length of the missing side. Express your answer in simplest radical form.

A 2106 cm
B. 22 cm
C. 27 cm
D. 47 14 cm​

Answer 1

D

Explanation:

you use the Pythagorean theorem

It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

so mathematically

a2+b2=c2

a and b being the short sides and C being the Hypotenuse

so in our case

a= 10 cm

b= ?

c= 18

a2+b2=c2

(10cm)2+(b)2=(18cm)2

100cm2+b2=324cm2

b2=324cm2-100cm2

b2=224cm2

*putting both sides under a square root*

b=4sqrt14cm