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

Answer:

B. BC = 122 units.

Step-by-step 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.