Which of the following statement justifies why the triangle shown below is not a right triangle?

The correct answer is A.

Step-by-step explanation:

A right angled triangle is the type of triangle in which one of the three angles is .

For a triangle to be right angled triangle, following equation must hold:

Where Hypotenuse is the largest side of triangle and is opposite to the angle with value .

Base and Height are the two other sides making an angle of with each other.

In the given question figure, largest side, XY = 13 units

Other two sides are:

YZ = 4 units

XZ = 12 units

For this to be right angled, the following must be true:

Hence, the given triangle is not a right angled triangle because of following:

Hence, option A. is correct answer.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.