The height of the triangle is approximately
Step-by-step explanation:
The area of a triangle can be calculated by using the Heron's formula.
<em>Heron's formula: </em>
Suppose a triangle has sides , and , then the semi-perimeter of the triangle is represented by the expression,
The area of the traingle is formulated below.
To calculate the area of the triangle with sides , and , first find the semi-perimeter.
Now, the area of the triangle is calculated below.
Area <em>A</em> of a triangle with a altitude <em>P</em> and one side as base <em>B </em>on which the altitude <em>P</em> is drawn, can be calculated as,
Now, the area of the same triangle can also be calculated as,
In the above calculations, area of the triangle is calculated in two ways.
Therefore, both the areas can be equated to obtain the altitude .
Thus, the height of the triangle is evaluated as .
Learn more:
1. Prove that AB2+BC2=AC2https://brainly.com/question/1591768
2. Which undefined term is needed to define an angle? brainly.com/question/3717797
3. Look at the figure, which trigonometric ratio should you use to find x? brainly.com/question/9880052
Answer Details
Grade: Junior High School
Subject: Mathematics
Chapter: Area of triangle
Keywords: area of triangle, heron's formula, base multiplied by height, base multiplied by perpendicular, base multiplied by altitude, right triangle, altitude corresponding to base, area of right triangle