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Statistics

Question
CBSEENMA9003248

An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.

Solution

a = 12 cm
b = 12 cm
Perimeter = 30 cm

⇒     a + b + c = 30
⇒    12 + 12 + c = 30
⇒    24 + c = 30
⇒    c = 30 – 24
⇒    c = 6 cm

straight s equals 30 over 2 space cm space equals space 15 space cm
therefore  Area of the triangle
    equals square root of straight s left parenthesis straight s minus straight a right parenthesis left parenthesis straight s minus straight b left parenthesis straight s minus straight c right parenthesis end root
equals space square root of 15 left parenthesis 15 minus 12 right parenthesis left parenthesis 15 minus 12 right parenthesis left parenthesis 15 minus 6 right parenthesis end root
equals space square root of 15 left parenthesis 3 right parenthesis left parenthesis 3 right parenthesis left parenthesis 9 right parenthesis end root equals 9 square root of 15 space cm squared

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