Question

In an isosceles right angled triangle, the
length of the hypotenuse is 6 under root of
2 cm. Then
its area

​

Answer 1

Answer:

Step-by-step explanation:In an isosceles right angled triangle, the two sides on the right angle are equal

Let the equal side be a

Hence, hypotenuse of the isosceles right angled triangle of side a=  

a  

2

+a  

2

 

​  

=  

2

​  

a

Given, hypotenuse of the triangle =6  

2

​  

cm

2

​  

a=6  

2

​  

cm

a=6cm

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

Hence, area of the triangle =  

2

1

​  

× base ×height=  

2

1

​  

×6×6=18 sq cm