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Question
Calculate the area of a right-angled triangle whose hypotenuse is 65cm and one side is 16cm.
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Solution
Hypotenuse = 65cm
One side = 16cm
Let the other side be of length x cm
By Pythagoras theorem,
(65cm)2 = (16cm)2 + (x cm)2
(x cm)2 = 4225cm2 - 256cm2
= 3969cm2
= (63cm)2
⇒ x = 63cm
Area of the triangle
= `(1)/(2) xx ("Base" xx "Height")`
= `(1)/(2) xx 16"cm" xx 63"cm"`
= 504cm2.
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