The lengths of the sides of a triangle are in the ratio 4:5:3 and its perimeter is 96 cm. Find its area.
Answers
Answered by
3
Answer:
area=384cm²
Step-by-step explanation:
perimeter=96cm=sum of sides
sides= 4:5:3 = 4x:3x:5x
sum of sides=4x+3x+5x= 12x
12x=96, x= 96/12=8
4x=32cm,5x=40cm,3x=24cm
base=24 and longest side=hypotenuse =40
3,4,5 is the Pythagorean triplet so this is a right angled triangle
taking 24 as base 32 is the height and 40 the hypothenuse
area=1/2*b*h = 1/2*24*32
=12*32
=384cm²
Similar questions