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

Question

What is the area of the triangle in the drawing?

Video Solution

Solution Steps

00:11 Let's find the area of this triangle together.

00:15 We'll use the triangle area formula: base times height, divided by 2.

00:20 Now, let's plug in our numbers. We have a base of 7 and a height of 5, so that's 7 times 5, divided by 2.

00:29 Let's solve this step by step. First, multiply 7 times 5, which gives us 35. Then divide 35 by 2.

00:39 And there we have it! The area of our triangle is 17.5 square units. That wasn't too hard, was it?

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

$\frac{5\times7}{2}=\frac{35}{2}=17.5$

Answer

17.5

Related Subjects

The Area of a Triangle Area Area of Equilateral Triangles Area of a Scalene Triangle Area of Isosceles Triangles Triangle Area of a right triangle Areas of Polygons for 7th Grade How do we calculate the area of complex shapes? How to calculate the area of a triangle using trigonometry?

Question Types

Area of a Triangle: Applying the formula