Question

The perimeter of an isosceles right triangle is 6(2+√2) cm Its area is

Answer 1

Answer:

4.5 sq m

Step-by-step explanation:

4.5m2

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 =a2+a2=2a

Given, perimeter of the triangle =(6+32)m

⇒a+a+2a=(6+32)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 =21×base×height =21×3×3=4.5m2