Question

hey guys pls help me with this<br />THE BASE OF AN ISOSCELES TRIANGLE IS 24cm and the area is 192sq.cm. find the perimeter. <br />​

Answer 1

Answer:

64cm

Step-by-step explanation:

Base=24cm

Area=192sq. cm

Perimeter=?

let us first find the height of the triangle

area of Δ=1/2 X base X height

192sq. cm= 1/2 X 24 X height

height= 192 / 12

height= 16cm

The height of the triangle is also it's meridian i. e it divides it into 2 equal halves.

To find the other two side of the triangle=

by using the pythogorous theoram

In ΔABD

H²= A²+B²

x²= 16²+12²

x=20cm

we know that two the sides of isocles Δ are equal. so it's perimeter is=

24+20+20=64cm