Question

ABC is a triangle whose vertices are A(-2, 4), B(3,6), and C(1,1). Which type of triangle is ABC? a) Scalene triangle b) Equilateral triangle c) Isosceles triangle d) Scalene right angled triangle​

Answer 1

Answer:

c) Isosceles triangle

Explanation:

In triangle ABC, AB,BC and AC are the sides.

Distance = d =√[(x2 - x1)² + (y2-y1)²]

AB = √[(3+2)²+(6-4)²]

= √(25+4)

= √29

BC = √[(1-3)²+(1-6)²]

= √(25+4)

= √29

AC = √[(1+2)²+(1-4)²]

= √(9+9)

= √18

Here, AB = BC ≠ AC.

Two sides are equal which means it is an isosceles triangle.

Hope it helps you:)