Question

The ratio of the areas of two triangles is 5:2. the area of the larger triangle 60 cm² what is the area of the smaller triangle

Answer 1

24 cm²

Explanation:

`Let\\A_1,\ A_2-areas\ of\ triangles\ (A_1>A_2)\\\\A_1=60\ cm^2\\\\A_1:A_2=5:2\\\\\text{Substitute:}\\\\(60)/(A_2)=(5)/(2)\qquad\text{cross multiply}\\\\5A_2=(60)(2)\\\\5A_2=120\qquad\text{divide both sides by 5}\\\\A_2=24\ cm^2`

Answer 2

24 cm²

Explanation:

Using proportion to solve

let the area of the smaller triangle be x, then

`(5)/(2)` =
`(60)/(x)` ( cross- multiply )

5x = 120 ( divide both sides by 5 )

x = 24

Area of smaller triangle = 24 cm²