In the given triangle , Coordinates of A (-1,3) , B (-5,-1), C (3,-1).
Let's find the slope of AB and AC .
Formula of slope is
For AB, slope is,
And slope of AC is
Product of the slopes of AB and AC is
Since the product of the two slopes is -1, so AB and AC are perpendicular.
And if they are perpendicular, angle BAC is 90 degree, so the triangle is right triangle .
Now we check the length of the sides of the triangle, and for that we use distance formula , which is
So for AB,
For AC,
For BC,
And since two sides are equal, so the triangle is isosceles triangle .
Rewrite all 4 numbers as decimals to compare them:
88/25 = 3.52
3 11/20 = 3.55
Now arrange them in the correct order:
88/25, 3 11/20, 3.551, 3.88
Answer:
right angle ( right )
Step-by-step explanation:
Pythagoras' theorem only works for right-angled triangles, so you can use it to test whether a triangle has a right angle or not. In the triangle above, if a 2 < b 2 + c 2 the angle is acute.
Answer:
2(m-5)+6
2m-10+6
2m-4
2m-4 is equivalent to 2(m-5)+6