The side of an isosceles right triangle of hypotenuse $5 \sqrt{2}$ cm is :
5 cm
$3 \sqrt{2}$
10 cm
8 cm

Question

The side of an isosceles right triangle of hypotenuse 5sqrt-2- cm is -5 cm3sqrt-2-10 cm8 cm

Toppr Admin · Accepted Answer

Sides other than hypotenuse of an isosceles triangle are equal-Let the other two sides be x each-Using pythagoras theorem-xA0-x2-x2-5-x221A-2-22x2-50-x21D2-x2-25-x21D2-x-5cmSo the other two sides are 5cm each-

The side of an isosceles right triangle of hypotenuse 5√2 cm is :5 cm3√210 cm8 cm

Sides other than hypotenuse of an isosceles triangle are equal.Let the other two sides be x each.Using pythagoras theorem x2+x2=(5√2)22x2=50⇒x2=25⇒x=5cmSo the other two sides are 5cm each.

The side of an isosceles right triangle of hypotenuse $5 \sqrt{2}$ cm is :
5 cm
$3 \sqrt{2}$
10 cm
8 cm

Sides other than hypotenuse of an isosceles triangle are equal.
Let the other two sides be $x$ each.
Using pythagoras theorem
$x^{2} + x^{2} = {(5 \sqrt{2})}^{2} 2 x^{2} = 50 \Rightarrow x^{2} = 25 \Rightarrow x = 5 c m$
So the other two sides are $5 c m$ each.