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

$\frac{b}{h} =\frac{4}{3}$

now, we can solve for b

$b =\frac{4}{3}h$

we know that area of any triangle is

$A =\frac{1}{2}*b*h$

we can plug b

$A =\frac{1}{2}*(\frac{4}{3}h)*h$

we are given

A=150

$150 =\frac{1}{2}*(\frac{4}{3}h)*h$

now, we can solve for h

so, we get

$h =15mm$.............Answer