Triangle abc has vertices at a(-2, 3), b(-3,-6), and c(2,- 1). is triangle abc a right triangle? if so, which angle is the right angle? w ano a(-2,3) o no, the triangle has no right angles. o yes, the right angle is angle a. o yes, the right angle is angle b. o yes, the right angle is angle c. 6 5 4 -3 3-2 -1,5 2 6 x 3 4 5 c (2,-1) b(-3,-6)

Yes, the right angle is angle B

Step-by-step explanation:

we have

Plot the vertices

see the attached figure

we know that

If triangle ABC is a right triangle

then

Applying the Pythagoras Theorem

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

Find the distance AB

substitute in the formula

Find the distance BC

substitute in the formula

Find the distance AC

substitute in the formula

Verify the Pythagoras theorem

---> is true

therefore

Is a right triangle and the right angle is B

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