Question

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

Answer 1

so the area of a triangle is \(\bf \cfrac{1}{2}\times base\times height\)
so how long is the Base of this triangle?

Answer 2

14 m

Answer 3

so we also know that the Area of it is 35m^2
so we could say that \(\bf 35 = \cfrac{1}{2}\times base\times height \implies 35 = \cfrac{1}{2}\times 14\times height\)

then just solve for "height"

Answer 4

the height is 15m

Answer 5

hmm \(\bf 35 = \cfrac{1}{2}\times 14\times height \implies 35 = \cfrac{14}{2}\times height \implies 35 = 7\times height\\
height = \square?\)

Answer 6

you said 7 times the height and the height is 15 right so it would be 35

Answer 7

well, they want to find the height, so if the height is 15 in the picture, then they'd be asking to find what is already given

15 is the slanted line going upwards
the height is the "dashed" vertical line

Answer 8

so how would you find the height

Answer 9

and it'd be slightly less than the slanted line

Answer 10

\(\bf 35 = \cfrac{1}{2}\times 14\times height \implies 35 = \cfrac{14}{2}\times height \implies 35 = 7\times height\\
height = \square?\)

Answer 11

by solving for "height"

Answer 12

so how do we solve by height

Answer 13

http://www.mathsisfun.com/algebra/equations-solving.html

Answer 14

He so the question says that Base is 14cm and it is given that area is 35 cm^2
We know that Area of a triangle is = 1/2*base*height!
So when we solve that we get the answer as 5cm!
Thus, the answer is 5cm!