THE PERIMETER OF A RIGHT ANGLE TRIANGLE IS 50CM AND THE HYPOTENUSE IS 18 CM. FIND ITS AREA.
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Perimeter = 50cm
Hypotenuse = 18 cm.
Let the sides be a b and c where c is Hypotenuse.
Now a + b + c = 50
a + b = 50 - c
A^ +b^ = c^
(a+ b) ^2 = (50 - c) ^2
A^2 + b^2 + 2ab = 2500 - 100c + c^2
C^2 + 2ab = 2500 - 100 ☓ 18 +c^2
2ab = 2500 - 1800
2ab = 700
ab = 350
Area of triangle = 1/2 ☓ base ☓ height
Area = 1/2 ☓ a ☓ b
Area = 1/2 ☓ 350
Area = 175 cm^2
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