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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

Respuesta :

Answer:

24 cm²

Step-by-step explanation:

Using proportion to solve

let the area of the smaller triangle be x, then

[tex]\frac{5}{2}[/tex] = [tex]\frac{60}{x}[/tex] ( cross- multiply )

5x = 120 ( divide both sides by 5 )

x = 24

Area of smaller triangle = 24 cm²

gmany

Answer:

24 cm²

Step-by-step explanation:

[tex]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:}\\\\\dfrac{60}{A_2}=\dfrac{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[/tex]

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