Respuesta :

Answer:

12 and 7

Step-by-step 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

Answer:

[tex]\boxed{12 \: \mathrm{and} \: 7}[/tex]

Step-by-step explanation:

Solve for the area of first triangle.

[tex]\frac{bh}{2}[/tex]

[tex]b=base\\h=height[/tex]

[tex]\frac{14 \times 6}{2}[/tex]

[tex]\frac{84}{2} =42[/tex]

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.

[tex]b \propto \frac{1}{h}[/tex]

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

[tex]\frac{12 \times 7}{2}=42[/tex]

The answer is b = 12 and h = 7.