If the triangle has a right angle (90° angle) it is a right triangle.

hope this helps :)

hope this helps :)

If the side lengths (arranged from shortest to longest) have values of a, b, and c, and a²+b²=c², then the triangle is a right triangle.

A right triangle means one of your angles is 90°

Therefore you can prove your triangle is a right triangle by showing one of the angles is 90°

Therefore you can prove your triangle is a right triangle by showing one of the angles is 90°

second choice

Step-by-step explanation:

Right angle has a 45 degree angle which is perpendicular.

Let's see what the answer choices mean with respect to the requirement to prove a triangle is a right triangle.

a) two sides are congruent: the triangle is isosceles, but not necessarily a right triangle.

b) two sides are perpendicular: the triangle must be a right triangle.

c) three sides are congruent: the triangle is equilateral so is definitely not a right triangle.

d) sides are parallel: the figure cannot be a triangle.

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The appropriate choice is the second one ...

... Use the slope formula to see if any sides are perpendicular.

The best way to prove that a triangle is a right triangle is to use the Pythagorean theorem because the Pythagorean theorem only works with right triangles. If a^2 + b^2 = c^2, then you are looking at a right triangle.

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