Question

The perimeter of an isosceles triangle is 32 CM the ratio of the equal sides measure 3 ratio 2 find the area of the triangle

Answer 1

correction in question=> ratio of equal and unequal sides= 3 : 2

Step-by-step explanation:

sum of ratios of the sides= 3+3+2

= 8

then the length of equal sides= 32×3/8= 12 cm

length of unequal side = 32×2/8 = 8 cm

thus height of triangle= √( 144-16) = √128 cm

=8√2 cm

area of triangle= base×height /2

= 8×8√2 / 2 = 32√2 cm²

Amswer{ = 32√2 cm²