Question

The ratio of the base and height of a triangle is 4 : 5. If the area of the triangle is 1440 $m^2$, find the measurement of its base and height.

• A. 42 m, 60 m
• B. 48 m, 62 m
• C. 48 m, 60 m
• D. 46 m, 68 m

Answer 1

The correct option is C 48 m, 60 m

The area of the triangle = A = 1440 $m^2$
The ratio of the base and the height of the triangle = 4 : 5
Let the the length of the base and height = 4x and 5x.
We know that $\frac{1}{2}$$b\times h=A$
$\frac{1}{2}$ $4x\times 5x=1440$
$10x^2$ = 1440
$x^2$ = 144
x = 12
Therefore, the length of the base = 4x = 4 × 12 = 48 m.
The height of the triangle = 5x = 5 × 12 = 60 m