Maths-
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Easy

Question

The sides of triangle are 11 cm, 15 cm and 16 cm. What is the measure of altitude to the largest side?

hintHint:

Try to find out area of triangle

The correct answer is: 2.64


    It is given that a = 11 cm , b = 15 cm and c = 16 cm.
    Using Heron’s formula
    Area of triangle = square root of s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis end root where s = fraction numerator a plus b plus c over denominator 2 end fraction
    s = fraction numerator 15 plus 16 plus 11 over denominator 2 end fraction = 21

                                                                  Area of triangle= square root of 21 left parenthesis 21 minus 11 right parenthesis left parenthesis 21 minus 15 right parenthesis left parenthesis 21 minus 16 right parenthesis end root
    square root of 21 left parenthesis 10 right parenthesis left parenthesis 6 right parenthesis left parenthesis 5 right parenthesis end root equals 30 square root of 7 cm squared
    Since we have to find altitude to the largest side, base of the triangle = 16 cm

    Also, area of triangle = 1 half cross times b cross times h

    ⇒ 1 half cross times 16 cross times h equals 30 square root of 7

    ⇒ straight h equals 15 over 4 square root of 7 equals 9.92 cm         (square root of 7 = 2.64)

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