If the area of a right-angled isosceles triangle is 676 cm2, then the

1.	If the area of a right-angled isosceles triangle is 676 cm2, then the length of its hypotenuse is:1. 53 cm2. 52 cm3. 50 cm4. 51 cm
Answer» Correct Answer - Option 2 : 52 cm Given: Area of right angled isosceles triangle = 676 sq.cm Formula: Area of right angled isosceles triangle = 1/2 × a × a a = equal sides of triangle Calculation: Let height or base of right angled triangle be a cm. ⇒ 676 = 1/2 × a² ⇒ a = 26√2 cm Height and base of isosceles triangle = 26√2 cm In right angled triangle, Using pythagoras theorem, hypotenuse² = a² + a² hypotenuse = 52 ∴ Length of its hypotenuse is 52cm.

If the area of a right-angled isosceles triangle is 676 cm2, then the length of its hypotenuse is:1. 53 cm2. 52 cm3. 50 cm4. 51 cm

Answer» Correct Answer - Option 2 : 52 cm

Given:

Area of right angled isosceles triangle = 676 sq.cm

Formula:

Area of right angled isosceles triangle = 1/2 × a × a

a = equal sides of triangle

Calculation:

Let height or base of right angled triangle be a cm.

⇒ 676 = 1/2 × a²

⇒ a = 26√2 cm

Height and base of isosceles triangle = 26√2 cm

In right angled triangle,

Using pythagoras theorem,

hypotenuse² = a² + a²

hypotenuse = 52

∴ Length of its hypotenuse is 52cm.

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If the area of a right-angled isosceles triangle is 676 cm2, then the length of its hypotenuse is:1. 53 cm2. 52 cm3. 50 cm4. 51 cm

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