Maths-
General
Easy

Question

An isosceles right angled triangle has area 8 cm2 . Find the length of its hypotenuse.

Hint:

In right angled isosceles triangle, base and height have equal length

The correct answer is: 5.64 cm


    We know that base and height have equal length in right angled isosceles triangle.
    Let base = height = x
    It is given that Area of the triangle = 8 cm2
    1 half cross times b cross times h = 8
    1 half cross times x2 = 8
    x2 = 16 ⇒ x = 4 cm
    So, base = 4 cm = height
    Using Pythagoras theorem,
    Hypotenuse2 = Base2 + Height2 = 42 + 42 = 2 cross times 82
    Hypotenuse = 4square root of 2 cm
    (square root of 2 = 1.41)
    = 5.64 cm

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