An isosceles right triangle has area 8 cm square the length of its hypotenuse is

An isosceles right triangle has area 8 cm². The length of its hypotenuse is a. √32 cm b. √16 cm c. √48 cm d. √24 cm Solution: Given, an isosceles right triangle has area 8 cm². We have to find the length of its hypotenuse. We know that in an isosceles triangle two sides are of equal length. Here, AB = BC AC is the hypotenuse Area of triangle = 1/2 × base × height 8 = 1/2 × AB × BC 8 = 1/2 × AB² AB² = 8 × 2 AB² = 16 Taking square root, AB = 4 cm In triangle ABC, By using Pythagorean theorem, AB² + BC² = AC² (4)² + (4)² = AC² AC² = 16 + 16 AC² = 32 Taking square root, AC = √32 cm Therefore, the length of the hypotenuse is √32 cm. ✦ Try This: An isosceles right triangle has area 36 cm². The length of its hypotenuse is ☛ Also Check: NCERT Exemplar Class 9 Maths Exercise 12.1 Problem 1 An isosceles right triangle has area 8 cm². The length of its hypotenuse is a. √32 cm, b. √16 cm, c. √48 cm, d. √24 cm Summary: An isosceles triangle is defined as a triangle that has two sides of equal measure. An isosceles right triangle has area 8 cm² . The length of its hypotenuse is √32 cm ☛ Related Questions: • • •