Question

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

Answer 1

22 squared + 120 squared
14484
rad 14484 equals 122
the answer is b

Answer 2

B. BC = 122 units.

Explanation:

We are given a right angled triangle with sides,

AB = 22 units

AC = 120 units.

We know that, Pythagoras Theorem gives,

`Base^(2)+Perpendicular^(2)=Hypotenuse^(2)`

i.e.
`AC^(2)+AB^(2)=BC^(2)`

i.e.
`120^(2)+22^(2)=BC^(2)`

i.e.
`14400+484=BC^(2)`

i.e.
`14884=BC^(2)`

i.e. BC = ±122

Since, the sides of a triangle cannot be negative.

We get, BC = 122 units.

Thus, option B is correct.