2 Answers

Utkarsh Tyagi · Answer 1 · 2021-08-14T03:03:22+0000

Question:

Triangle ABC is a right triangle

The length of BC is 5 units.

The area of ABC is ______ square units.

Cordinates are given below.

A(-9, 10)

B(7, -2)

C(4,-6)

Answer:

50 square units

Explanation:

Image to question is attached.

Given:

Length of BC = 5 units

Coordinates:

A = (-9, 10)

B= (7, -2)

C = (4, -6)

Let's take BC as base, and AB as height.

Since we know length of BC, let's find length of AB.

Length of AB =

$\sqrt{(-9 - 7)^2 +(10 + 2)^2$

$= \sqrt{(256)+(144)$

= 20.

Therefore, the area of triangle ABC
= (1)/(2) b*h

$= \frac {1}{2} * 5 * 20$

= 50 square units.

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