Prove that the triangle with vertices A(0,1), B(3,3), and C(3,-1) is an isosceles triangle. Select the two sides that are congruent.

Question

Prove that the triangle with vertices A(0,1), B(3,3), and C(3,-1) is an isosceles triangle. Select the two sides that are congruent.

in progress 0
Calantha 5 years 2021-08-16T02:20:45+00:00 1 Answers 11 views 0

Answers ( )

  1. Bo
    0
    2021-08-16T02:22:22+00:00
    Reply

    Answer:

    AB and AC are congruent

    Step-by-step explanation:

    To show that the triangle is isosceles, we need to show that two of the sides of the triangle are equal.

    Get AB

    Using the formula for calculating the distance between two points

    AB = √(x2-x1)²+(y2-y1)²

    A(0,1), B(3,3)

    AB = √(3-0)²+(3-1)²

    AB = √3²+2²

    AB = √9+4

    AB = √13

    Get BC

    B(3,3), and C(3,-1)

    BC = √(3-3)²+(-1-3)²

    BC = √0²+-4²

    BC= √0+16

    BC = √16

    BC = 4

    Get AC

    A(0,1), and C(3,-1)

    AC = √(3-0)²+(-1-1)²

    AC = √3²+(-2)²

    AC = √9+4

    AC= √13

    Since AB = AC, this shows that the triangle ABC is an isosceles triangle.

    The two sides that are congruent are AB and AC

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )