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The perimeter of right angle triangle …

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The perimeter of right angle triangle is 60 CM its hypotenuse is 25 cm find the area of the triangle

Posted by Saurabh Kumar 5 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

Here, a + b + c = 60, c = 25
a + b = 6 0 - c
a + b = 6 0 - 2 5 = 35
Using Pythagoras theorem|
{tex}a ^ { 2 } + b ^ { 2 } = 625{/tex}
Using identity {tex}( a + b ) ^ { 2 } = a ^ { 2 } + b ^ { 2 } + 2 a b{/tex}
{tex}35 ^ { 2 } = 625 + 2 a b{/tex}
1225 - 625 = 2ab
or, ab = 300
Hence, Area of {tex}\triangle A B C = \frac { 1 } { 2 } a b = 150 \mathrm { cm } ^ { 2 }{/tex}

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CBSE > Class 10 > Mathematics