Question

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

Answer 1

Answer:

Option D is correct.

$\overline{BC} = 122$ units

Step-by-step 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;

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

⇒$\text{BC}^2 = 484+14400 = 14884$

⇒$\tet{BC} = \sqrt{14884}=122$ units

Therefore, the length of side BC is, 122 units

Answer 2

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