The base of an isosceles triangle is 12 cm and its perimeter is 32 cm. find the area. Question The base of an isosceles triangle is 12 cm and its perimeter is 32 cm. find the area. in progress 0 Math Madeline 1 month 2021-08-14T02:05:48+00:00 2021-08-14T02:05:48+00:00 2 Answers 0 views 0

## Answers ( )

isoscelestriangle:

Base=12cm

sum of other 2 Sides=32-12=20

equal sides=20/2=10cm each

sides of this triangle 12, 10, 10

semiperimeter=(12+10+10)/2 = 32/2=l6

Area =vs (s-a)(s-b)(s-c)

=v16 (16-12) (16-10) (16-10)

=v16x4x6x6=48cm2

Answer:Let x be the equal side.

==>Perimeter:2x+12=32.

x=10cm.

Height of the base=8 (by solving using Pythagorean theorem).

Area of triangle=1/2*b*h.

Area of triangle =1/2*12*8.

Area of triangle=48cm^2.