Question

a side of an isosceles right angled traingle is X. Find the hypotenuse. class 10 TH ​

Answer 1

Step-by-step explanation:

the hypotense will be √2x as

Answer 2

Let ∆PQR be the given right-angled isosceles triangle.

PQ = QR = x. In ∆PQR, ∠Q = 90° [Pythagoras theorem]

∴ PR2 = PQ2 + QR2 = x2 + x2 = 2x2

∴ PR = 2x2−−−√2x2 [Taking square root of both sides] = x2–√2 units

∴ The hypotenuse of the right-angled isosceles triangle is x2–√2 units.