Question

Thethree sides of a triangle measure 810 and 12 units is this a right angle?

Answer 1

The given triangle is NOT A RIGHT ANGLED TRIANGLE.

Explanation:

Here, the three given sides of the triangle are:

8 units, 10 units and 12 units

Now, for any triangle to be a right angle:

by the PYTHAGORAS THEOREM:

`(Base)^2 + (Perpendicular)^2  = (Hypotenuse)^2`

The longest of all sides id the hypotenuse.

⇒ H = 12 units

Let us assume, B = 8 units, P = 10 units

Now, here checking the condition:

`(8)^2  + (10)^2  = 64  + 100  = 164  \\eq (12)^2  = 144\\\implies (B)^2  + (P)^2  \\eq (H)^2`

Hence, the given triangle is NOT A RIGHT ANGLED TRIANGLE.