The area of a triangle is 30 square inches. What is the length of the base if the height is 6 centimeters?
![The area of a triangle is 30 square inches What is the length of the base if the height is 6 centimeters class=](https://us-static.z-dn.net/files/ddf/a7cdce2fa6644f6ee92cab20ebe39040.png)
Answer:
x = 10 cm
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = x, h = 6 and A = 30 , then
[tex]\frac{1}{2}[/tex] × 6 × x = 30
3x = 30 ( divide both sides by 3 )
x = 10
The length of the base is 25.4 cm.
A triangle is a 3-sided polygon. The sum of angles in a triangle is 180 degrees.
Types of triangle
Length of the base of a triangle = (2 x area) / height
1 inch = 2.54 cm
30 x 2.54 = 76.20cm
(2 x 76.20) / 6 = 25.4 cm
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