Calculate Triangle Area: Find Area with Sides 5, 7, and 8.6

Question

What is the area of the triangle in the drawing?

5557778.68.68.6

Video Solution

Solution Steps

00:00 Find the area of the triangle
00:03 which is (base times height) divided by 2
00:09 Let's apply to the question (base(7) times height(5)) divided by 2
00:15 Let's calculate
00:21 And this is the solution to the question

Step-by-Step Solution

First, we will identify the data points we need to be able to find the area of the triangle.

the formula for the area of the triangle: height*opposite side / 2

Since it is a right triangle, we know that the straight sides are actually also the heights between each other, that is, the side that measures 5 and the side that measures 7.

We multiply the legs and divide by 2

5×72=352=17.5 \frac{5\times7}{2}=\frac{35}{2}=17.5

Answer

17.5