Tony Stark has a right triangle with a base of 6 feet and a height of 4 feet. If Dr. Banner were to construct a similar but not congruent right triangle with an area of 108 square feet, what would the dimensions of the Dr. Banner's triangle be?

Explanation:

Given

Triangle 1 (Tony Stark):

Triangle 2 (Dr. Banner):

Required

Determine the dimensions of the second triangle

The area of a triangle is:

First, calculate the area of Triangle 1

Divide the area of Triangle 2 with the area of triangle to get the scale factor (n) of the area.

The scale factor (k) of the dimensions of triangle 1 to 2 is the square root of the scale factor of the area (n):

For triangle 1, we have:

The dimension of triangle 2 is:

brave new world, aldous huxley (1932)