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
of the triangle?
A. 3in, 9 in
B. 8in, 24 in
C. 2in, 6in
D. 4in, 12in
1 answer:
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 = x base x height
From the problem,
base = x height
let the base = b
height = h
b = h
h = 3b
Input into the formula of area;
24 = x b x 3b
Mulitply through by 2;
48 = 3b²
b² = 16
b = √16 = 4
So, h = 3b= 3 x 4 = 12in
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