Find The Area Of A Triangle Online Quiz
Learn finding area of triangle
A triangle is a shape that has three sides and three angles. To find the area of a triangle, we use a formula that involves the length of the base and the height of the triangle.
The base of a triangle is one of the sides of the triangle. The height of the triangle is the distance from the base to the top point of the triangle, called the “apex.” To find the area of a triangle, we need to draw a line from the apex down to the base, creating two smaller triangles. This line is called the “altitude” of the triangle.
The formula for finding the area of a triangle is:
Area = (base * altitude) / 2
To use the formula, we need to measure the length of the base and the altitude, then plug those numbers into the formula. Let’s try an example:
Imagine we have a triangle with a base of 10 inches and an altitude of 8 inches. Plugging these numbers into the formula, we get:
Area = (10 * 8) / 2 = 40 / 2 = 20 inches
So the area of this triangle is 20 square inches.
It’s important to remember that the base and altitude must be in the same units, whether it’s inches, feet, or centimeters. Make sure to use the same units for both measurements when using the formula.
Sometimes, we might not know the height of a triangle, but we do know the lengths of all three sides. In this case, we can use a different formula called Heron’s formula to find the area of the triangle.
Heron’s formula is:
Area = sqrt(s * (s – a) * (s – b) * (s – c))
In this formula, “s” is a value called the “semi-perimeter” of the triangle. It’s equal to half the perimeter of the triangle, which is the total length of all three sides. “a,” “b,” and “c” are the lengths of the three sides of the triangle.
To use Heron’s formula, we need to measure the lengths of all three sides of the triangle and plug those numbers into the formula. Let’s try an example:
Imagine we have a triangle with sides that are each 6 inches, 8 inches, and 10 inches long. First, we need to find the semi-perimeter of the triangle:
s = (6 + 8 + 10) / 2 = 24 / 2 = 12
Then, we can plug the values into the formula:
Area = sqrt(12 * (12 – 6) * (12 – 8) * (12 – 10))
= sqrt(12 * 6 * 4 * 2)
= sqrt(288)
= 16.97 inches
So the area of this triangle is approximately 16.97 square inches.
It’s important to remember that the side lengths must be in the same units as the area, whether it’s inches, feet, or centimeters. Make sure to use the same units for all measurements when using the formula.