Question

4. The length, breadth and the diagonal of a sheet of paper are measured to be 48 cm, 64 cm and 80 cm.
Determine whether the sides of the sheet are at right angles to each other


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Answer 1

Answer: Yes the sides of the sheet are at right angles

Step-by-step explanation:

To determine whether the sides of sheet are at right angles we can use Pythogoras Theorem.

According to it the squares of sides will sum up to square of diagonal.

Let's check it.

$48^{2}$ + $64^{2}$ = 2304 + 4096 = 6400

Now we know that $\sqrt{6400}$ = 80 = diagonal

Hence, the sides of sheet are at right angles