Determine if triangle abc with coordinates a (0, 2), b (2, 5), and c (−1, 7) is an isosceles triangle. use evidence to support your claim. if it is not an isosceles triangle, what changes can be made to make it isosceles? be specific.

The triangle ABC is an isosceles right triangle

Step-by-step explanation:

we have

The coordinates of triangle ABC are

A (0, 2), B (2, 5), and C (−1, 7)

we know that

An isosceles triangle has two equal sides and two equal internal angles

The formula to calculate the distance between two points is equal to

step 1

Find the distance AB

substitute in the formula

step 2

Find the distance BC

substitute in the formula

step 3

Find the distance AC

substitute in the formula

step 4

Compare the length sides

therefore

Is an isosceles triangle

Applying the Pythagoras Theorem

substitute

-----> is true

therefore

Is an isosceles right triangle

5

step-by-step explanation: