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Firdavs [7]
3 years ago
7

When the points below are connected, they will form triangle ABC. Show and state whether this triangle has a right angle or not.

(Hint: Use slope to prove that there is a 90 degree angle) Drawing a graph will not award you any marks. *
A(-6,3) B(0,5) C(2,-1)

PLS HURRY I NEED ALL THE STEPS TOO THANK YOU!!!!!
Mathematics
1 answer:
cluponka [151]3 years ago
8 0

Answer:

See explanartions below

Step-by-step explanation:

Given the coordinates A(-6,3) B(0,5) C(2,-1)

We first need to get the slope of AB, BC and AC

For AB;

A(-6,3) B(0,5)

Mab = 5-3/0-(-6)

Mab = 2/6

Mab = 1/3

For BC;

B(0,5) C(2,-1)

Mbc = -1-5/2-0

Mbc = -6/2

Mc = -3

For AC:

A(-6,3) C(2,-1)

Mac = -1-3/2-(-6)

MAc = -4/8

Mac = -1/2

Taking the product of Mab and Mbc

Mab * Mbc = 1/3 + -3

Mab * Mbc = -1

<em>Since the product of Mab and Mbc is -1, hence AB abd BC are perpendicular showing that one of the angle of triangle ABC is 90 degrees</em>

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