Question

The perimeter of an isosceles right-angled triangle is 6(√2+6) cm . Find its area. Please solve it with explanation​

Answer 1

Step-by-step explanation:

The perimeter of an isosceles right-angled triangle is 6(√2+6) cm . Find its area. Please solve it with explanation

Answer 2

Step-by-step explanation:

Correct option is

A

4.5m

2

In an isosceles right angled triangle, the two sides on the right angle are equal.

Let the equal sides be a.

Hence, hypotenuse of the isosceles right angled triangle =

a

2

+a

2

=

2

a

Given, perimeter of the triangle =(6+3

2

)m

⇒a+a+

2

a=(6+3

2

)m

⇒a(2+

2

)=3(2+

2

)m

⇒a=3m

In the isosceles right triangle, the base and height =a

Hence, area of the triangle =

2

1

×base×height =

2

1

×3×3=4.5m

2