Samantha leaves her house and drives 18 kilometers east to her friend's house. She then drives north to school. Finally, she drives 30 kilometers directly home, in a straight line, from school. A map of Samantha's route is provided below.

How far does Samantha drive traveling from her friend's house to the school?

A.
42 kilometers

B.
12 kilometers

C.
35 kilometers

D.
24 kilometers

Answer:

the answer is D) 35

Step-by-step explanation:

use the formula b²×h²

The distance travelled by Samantha from her friend's home to school will be 24 KM

The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides.

Here Samantha is travelling in a right-angled triangular path so the distance between Samantha's school and her friend's home will be calculated as:-

H² = P²+B²

(30)² = x²+(18)²

x²= 900-324=576

x=√576

x=24 KM

Hence the distance travelled by Samantha from her friend's home to school will be 24 KM

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