Question

The area of an isosceles right-angled triangle is 8cm2 then find the length of its hypotenuse

Answer 1

Length of hypotenuse is 8 cm

Answer 2

Answer:

Step-by-step explanation:

Step 1 of 3

Write the formula of area of an isosceles right triangle and Pythagoras theorem.

The formula of area of an isosceles triangle

, where a is each equal sides of the triangle.

Pythagoras theorem: in a right angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

i.e.  

   

Step 2 of 3

Compare the area of the given triangle with the formula.  

The area of the triangle

 

Step 3 of 3

Find the value of the hypotenuse using Pythagoras theorem.

Hypotenuse