Question
The sides of certain triangles are given below. Determine which of them are right triangles.
$a = 7cm, b = 24cm$ and $c = 25cm$
$a = 7cm, b = 24cm$ and $c = 25cm$
✓
Answer
We have,
$a = 7cm, b = 24cm$ and $c = 25cm$
$\therefore$ $a^2 + b^2 = (7)^2 + (24)^2 = 49 + 576 = 625$
$c^2 = (25)^2 = 625$
thus, $a^2 + b^2 = c^2$
Hence, it is a right-triangle.
$a = 7cm, b = 24cm$ and $c = 25cm$
$\therefore$ $a^2 + b^2 = (7)^2 + (24)^2 = 49 + 576 = 625$
$c^2 = (25)^2 = 625$
thus, $a^2 + b^2 = c^2$
Hence, it is a right-triangle.
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