Question

Which of the following statements justifies why the triangle shown below is

not a right triangle?

Answer 1

Option A

Explanation:

Given in the picture is a triangle ABC with three sides given as 6,11 and 15

By the picture itself we can say that the largest angle is obtuse and hence the triangle is not right angled.

Using the converse of Pythagorean theorem that in a right triangle sides square add upto square of hypotenuse let us check whether this applies to this triangle.

Small sides are 6 and 11

Squaring and adding gives

`6^2+11^2 = 187`

Large side = 11 and square is

`15^2 =225 > 121`

Hence this is not a right triangle but obtuse

So option A is right

Answer 2

A) 6^2 + 11^2 is not equal to 15^2

Explanation:

To find out if a right triangle is a right triangle you have to use the Pythagorean Theorem, like it is used in A.

6^2 + 11^2 = 15^2

36 + 121 = 225

157 does not equal 225

So this is not a right triangle