Question

Find the length of a hypotenuse of an isosceles right angle triangle whose congruent side is 7 cm​

Answer 1

Answer:

An isosceles right triangle is an isosceles triangle and a right triangle. This means that it has two congruent sides and one right angle. Therefore, the two congruent sides must be the legs. From this we can conclude that the hypotenuse length is the length of a leg multiplied by \begin{align*}\sqrt{2}\end{align*}.

Answer 2

Answer:

Let the other side of triangle is x cm

Then in isosceles right angle triangle two congruent sides are 7 cm

x²+(7)²+(7)²

⇒x²=49+49

⇒x² =198

⇒x=7 √2

Then perimeter of right angle isosceles triangle =

7(2+ √2 ) cm