Question

The base and height of the triangle are in the ratio 4:3. If the area of the triangle is 150 mm^2, what is the measure of the height?

A. 5 mm
B. 10.6 mm
C. 14.14 mm
D. 15 mm
E. 20 mm

Answer 1

Let's assume

base is b

height is h

we are given

`(b)/(h) =(4)/(3)`

now, we can solve for b

`b =(4)/(3)h`

we know that area of any triangle is

`A =(1)/(2)*b*h`

we can plug b

`A =(1)/(2)*((4)/(3)h)*h`

we are given

A=150

`150 =(1)/(2)*((4)/(3)h)*h`

now, we can solve for h

so, we get

`h =15mm`.............Answer