A triangle has base 7 m and area 17.5 m2. What is the height?

Answer 1

Utilize Area of a triangle formula which is the following: A=1/2bh

The given in the problem we know the the area and base which is the following: A=17.5m² and b=7m

We will substitute these numbers into the formula to solve for the height (h)

17.5=1/2(7)h--First multiply 1/2 and 7 to get 7/2

17.5=7/2h-finally divide both sides by 7/2 to get your h

(17.5)/(7/2)=(7/2)/(7/2) h

h=(17.5)/(7/2)=(17.5)(2/7)-in dividing fractions flip the second fraction

h=17.5*2=35/7=5m

So the height of the triangle equals 5 meters.

Any questions on the work or process just let me know. Now go try another problem similar to this one.

Answer 2

Area of a triangle:

1/2(b) x height = area

Fill in the data that we have:

1/2(7) * h = 17.5

Simplify:

3.5h = 17.5

Divide 3.5 on each side to isolate h:

h = 5m