On a coordinate plane, triangle G H J has points (1, 1), (4, 1), (4, 5). What is the area of triangle GHJ? 5 square units 6 square units 7 square units 12 square units

Answers

Answer 1

Answer:

B: 6 units

Step-by-step explanation:

just took the test

Answer 2

The area of triangle GHJ is 6 square units.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To find the area of triangle GHJ, we can use the formula:

Area = (1/2) x base x height

where the base is any one of the sides of the triangle, and the height is the perpendicular distance from that side to the opposite vertex.

We can choose any side of the triangle as the base, but it is convenient to choose the side that is horizontal or vertical to simplify the calculations.

In this case,

We can choose the base to be the side GH, which has a length of 3 units (since the x-coordinates of G and H are different).

To find the height of the triangle,

We need to draw a perpendicular line from the vertex J to the base GH, and then calculate its length.

Since the x-coordinate of J is 4 and the x-coordinates of G and H are both 1, the base GH is 3 units long.

Also,

The y-coordinate of J is 5, and the y-coordinates of G and H are both 1, so the height of the triangle is 4 units.

The area of triangle GHJ is:

Area = (1/2) x base x height

Area = (1/2) x 3 x 4

Area = 6 square units

Thus,

The area of triangle GHJ is 6 square units.

Learn more about triangles here:

https://brainly.com/question/25950519

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