Question

Please help!! shirley is drawing triangle that have the same area

Answer 1

`\boxed{12 \: \mathrm{and} \: 7}`

Explanation:

Solve for the area of first triangle.

`(bh)/(2)`

`b=base\\h=height`

`(14 * 6)/(2)`

`(84)/(2) =42`

The area of second triangle is same as the first triangle.

The area of second triangle is 42 units².

The base varies inversely with the height.

`b \propto (1)/(h)`

As the value of b increases, the value of h decreases.

`(12 * 7)/(2)=42`

The answer is b = 12 and h = 7.

Answer 2

12 and 7

Explanation:

The area of the first triangle is

A = 1/2 bh

A = 1/2 ( 14*6)

A = 42

The area of the second triangle must equal 42

Varying inversely means as the height increases, the base must decrease at the same rate

Lets try 12 and 7

A = 1/2 (12*7)

A = 42

The height of the new triangle increased and the base decreased