Question

A right angled triangle is isosceles. If the square of the hypotenuse is 50 m² what is the length of each side.​

Answer 1

Answer:

$therefore \: \: length \: of \: eah \: side \: = \: 5 \: m.$

Step-by-step explanation:

${x}^{2} + {x}^{2} = 50 \\ \\ 2 {x}^{2} = 50 \\ \\ {x}^{2} = 25 \\ \\ x = 5 \: m \\ \\ therefore \: \: length \: of \: eah \: side \: = \: 5 \: m.$

Answer 2

Now since it is a isosceles triangle so 2 of its side will be same .

ALSO SINCE IT IS A RIGHT ANGLED TRIANGLE SO WE WILL USE PYTHAGORAS THEOREM.

LETS TAKE THE LENGTH OF THE EQUAL SIDES AS "A"

THEN

${a}^{2} + {a}^{2} = {c}^{2}$

$2 {a}^{2} = 50 \\ {a}^{2} = 25 \\ a = \frac{ + }{ - } 5$

But since length cannot be -ve so the side will be 5m , 5m and

$\sqrt{50} m$