Question

if the side of the triangle are 12,35 and 37 determine whether the triangle is a right angle triangle . justify​

Answer 1

Given:

Length of side 1 = 12 cm

Length of side 2 = 35 cm

Length of side 3 = 37 cm

To Find:

whether the given sides form a right angled triangle and to justify the process.

Solution:

In order to prove whether the given sides are that of a right angled triangle, we need to implement the Pythagoras theorem which states that:

Altitude² + Base² = Hypotenuse²

So here, if the sum of the squares of the two smaller sides is equal to the square of the third side, we can determine that the sides belong to a right angled triangle.

The longest side here would be Side 3. Also, let us consider Side 1 as the base and Side 2 as the altitude. Substituting the values, we get:

12² + 35²

= 144 + 1225

= 1369

Now, the hypotenuse is:

37²

= 1369

LHS = RHS

Therefore, we can determine that the given sides are that of a right angled triangle!!