The base of a triangle is one third of its height. If the area of the triangle is 24 square inches, what are the base and height

Question

3 years ago

7

of the triangle?
A. 3in, 9 in
B. 8in, 24 in
C. 2in, 6in
D. 4in, 12in

1 answer:

Burka [1] · Answer 1 · 2021-12-28T22:06:03+03:00

Answer:

D. 4in, 12in

Step-by-step explanation:

Area of triangle = 24in²

Unknown:

Base and height of the triangle = ?

Solution:

The area of a triangle = $\frac{1}{2}$ x base x height

From the problem,

base = $\frac{1}{3}$ x height

let the base = b

height = h

b = $\frac{1}{3}$ h

h = 3b

Input into the formula of area;

24 = $\frac{1}{2}$ x b x 3b

Mulitply through by 2;

48 = 3b²

b² = 16

b = √16 = 4

So, h = 3b= 3 x 4 = 12in