Question

Triangle ABC is a right triangle

The length of BC is 5 units.

The area of ABC is square units

B17, -2)

C(4,-6)

Answer 1

Answer: 50

Explanation:

Answer 2

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.