Question

examine the diagram.
which is the height of the triangle?
a. 40 m
b. 60 m
c. 80 m
d. 100 m
e. 110 m

Explanation:

Step1: Split base into two equal parts

The base is split into $\frac{120}{2}=60$ m segments.

Step2: Apply Pythagorean theorem

Let $h$ = height. Use $h = \sqrt{100^2 - 60^2}$.

Step3: Calculate the height

$h = \sqrt{10000 - 3600} = \sqrt{6400} = 80$ m

Answer:

C. 80 m