Question

the perimeter of a triangle is 64 cm and its sides are in ratio 5:6:7 find its area.​

Answer 1

Answer:

33.46 cm^2 is the correct answer

let the sides of the triangle be x.

then the ratio will be:-

5 x, 6 x and 7 x

perimeter= sum of all the sides

= 5x+ 6x+7x = 64

18x=64

x=64/18

x=3.6

then the sides will be 5×3.6 =18 cm.

6×3.6=21.6cm and 7×3.6 = 25.2 cm .

then by the herons formula

we will calculate area

s=64.8/2

s=32.4

=√ {14.4×10.8×7.2}

√√1119.744

= 33.46 cm ^2 .

Step-by-step explanation:

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