Question

The three sides of a triangle are given to be 12 cm, 35 cm and 37 cm. Is this triangle a right triangle if so which side is the hypotenuse?​

Answer 1

Answer:

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Step-by-step explanation:

By pythagoras theorem:

$base {}^{2} + perpendicular {}^{2} = hypotenuse {}^{2}$

In the given triangle

${12}^{2} + {35}^{2} = 144 + 1225 = 1369$

${37}^{2} = 1369$

Thus

${12}^{2} + {35}^{2} = {37}^{2}$

So, it is the right angled triangle

Hypotenuse is the longest side i. e. 37cm