contestada

14.A triangle with an area of 60 square meters has a base of 4 meters. A similar
triangle has an area of 50 square meters. Find the height of the smaller triangle.

Respuesta :

Answer:

25 meters

Explanation:

The formula required to find the area of a triangle is [tex]\frac{1}{2}[/tex] x base x height.

Triangle A:

Area= [tex]\frac{1}{2}[/tex] x base x height

60 = [tex]\frac{1}{2}[/tex] x 4 x height

[tex]\frac{60*2}{4}[/tex]= height

Height= 30 meters

The question says SIMILAR TRIANGLES, thus the base of triangle A is equal to triangle B.

So, 50 = [tex]\frac{1}{2}[/tex] x 4 x height

[tex]\frac{50*2}{4}[/tex] = height

Height= 25 meters