Question

The area of an isosceles triangle is 300cm².. The height of the triangle is 15cm .Find the perimeter of the triangle??
Answer please​

Answer 1

Answer:

90cm

Step-by-step explanation:

Area of isosceles triangle = 300 cm²

Height of the triangle = 15cm

Area of ∆ = $\frac{b*h}{2}$

300 = $\frac{15b}{2}$

b = $\frac{300*2}{15}$

   = 40 cm

By Pythagoras theorem,

h² =  15² + $(\frac{40}{2})^{2}$

h  = 25  

The other side is also 25.              (two sides of an isosceles ∆ is equal.)

∴ The perimeter is 25+25+40 = 90cm