Question

What is the height of the triangle if the area is thirty-five square meters?

Answer 1

:D

Answer 2

Triangle area = .5 * base * height
We are told the triangle is 35 square meters so
35 = .5 * base * height

From Heron's Formula we know that
Area = s • (s - a) • (s - b) • (s - c)
Where s is the semi-perimeter or (side a + side b + side c) / 2

35 = s • (s-15) • (s-14) • (s - c)
Hmmm now how to solve for c?

Answer 3

Use the information that is already given and replace that information with the equation.

Since we know that Area=1/2(b*h) we replace the variables for the number.
35=(1/2*14)h
35=7h
35/7=5

35=1/2(14*5) Is our final answer. So the height is 5.

Answer 4

WOW you really know your math thanks for helping me understand these problems guys @wolf1728 and @calculusxy

Answer 5

Your welcome :)