Question

A triangle has an area of 41.5 square centimeters and a base of 8.3 centimeters. What is the height?

Answer 1

10 cm.

Explanation:

You will first need the formula for finding the Area of a Triangle:

Area = 1/2(Base x Height)

Next, we need our known measurements to plug into the Equation:

41.5 Sq Cm = 1/2(8.3cm x Height)

After that, multiply the equation by 2

2 x 41.5 = (2 x 1/2) x (8.3cm x Height)

∨

83 sq cm = 8.3 cm x Height

Finally, divide your area by 8.3 cm:

83 / 8.3 = 10cm = Height

So, the answer is Height = 10 cm.

Good Luck!

Answer 2

10 cm

Explanation:

`\boxed{area \: of \: traingle = (1)/(2) * base * height}`

Substitute known values into the formula:

41.5= ½ ×8.3 ×height

41.5= 4.15 ×height

height

= 41.5 ÷4.15 (÷4.15 on both sides)

= 10cm