A right triangle ABC is shown below: A right triangle ABC with height AB labeled 3 units and base BC labeled 5 units is shown. The area of the triangle above will equal one half of a rectangle that is 5 units long and __ units wide. (Input only whole numbers, such as 8.)

Question

Mathematics

Makenzie Barber

5 September, 02:11

A right triangle ABC is shown below: A right triangle ABC with height AB labeled 3 units and base BC labeled 5 units is shown. The area of the triangle above will equal one half of a rectangle that is 5 units long and __ units wide. (Input only whole numbers, such as 8.)

+4

Answers (2)

Know the Answer?

Armani Brooks · Answer 1

I think the answer is 3.

Step-by-step explanation:

I just guessed.

Alissa Riley · Answer 2

w=3

Step-by-step explanation:

The area of the triangle is given by

A = 1/2 bh

the base is 5 and the height is 3

A = 1/2 (3) * 5 = 15/2 units ^2

The area of a rectangle is

A = l*w

A = 5w

The area of the triangle = 1/2 the area of the rectangle

15/2 = 1/2 * 5w

15/2 = 5/2 w

Multiply each side by 2/5 to isolate w

2/5 * 15/2 = 2/5 * 5/2 w

3 = w