# The Base of an Isosceles Triangle Measures 80 Cm and Its Area is 2 360 . Cm^2 Find the Perimeter of the Triangle. - Mathematics

The base of an isosceles triangle measures 80 cm and its area is 2 360 . cm^2 Find the perimeter of the triangle.

#### Solution

Given:

Base = 80 cm

Area = 360

Area of an isosceles triangle=(1/4 bsqrt(4a^2-b^2))

⇒360=1/4xx80sqrt(4a^a-80^2)

⇒360=20sqrt(4a^2-6400)

⇒18=2sqrt(a^2-1600)

⇒9=sqrt(a^2-1600)

Squaring both the sides, we get:

⇒81=a^2-1600

⇒a^2=1681

⇒a=41cm

Perimeter=(2a+b)

=[2(41+80)]=82+82=162cm

So, the perimeter of the triangle is 162 cm.

Concept: Area of Circle
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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 17 Perimeter and Areas of Plane Figures
Q 17