Question

What is the length of BC in the right triangle below?

A. 14844
B. √4222
C. 142
D. 122
E. 2640
F. 98

Answer 1

AB²+AC²=BC²
120²+22²=BC²
14884=BC²
BC=122

Answer 2

Option D is correct.

`\overline{BC} = 122` units

Explanation:

Using Pythagoras theorem:

`\text{Hypotenuse side}^2 = \text{Opposite side}^2+ \text{Adjacent side}^2`

As per the given right angle triangle ABC diagram:

In triangle ABC; we have

Hypotenuse side = BC

Opposite side = AB = 22 units

Adjacent side =AC= 120 units

Apply the Pythagoras theorem on rt angle triangle ABC we have;

`\text{BC}^2 = 22^2+120^2`

⇒
`\text{BC}^2 = 484+14400 = 14884`

⇒
`\tet{BC} = √(14884)=122` units

Therefore, the length of side BC is, 122 units