Hagrid
Answered

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

A14844
B√4222
C142
D122
E2640

F. 98

What is the length of BC in the right triangle below? A. 14844 B. 4222 C. 142 D. 122 E. 2640 F. 98 class=

Verified Answer :

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

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