Question and Answer from Triangle on Perimeter & Area

We learned the triangle concept previously. Today, we will answer a few more questions by perimeter and area. If you had not read the previous article on this topic, then visit that by clicking the below link. Because we have already discussed the following topics before today's tutorials.
Classification of Triangles
mensuration formulas

Solved Triangle Mensuration

Look below for important questions and answers.
Question1: What is the area of a 20 cm equilateral triangle?
Solution: You know that an equilateral is called in which all arms are equal. Look at the below image for the area calculating shortcut rule and the solution of this type of question.

Question 2: A triangle in which arms lengths are 20m, 30m, and 40 m, respectively. Now find the area.
Answer: Here, the figure is isolateral, and we knew all arm lengths. Simply we will use the Heron formula to find the area. Look at below how we solved problems?

Heron formula on the triangle

We hope you got the easy solution and now using the Heron formula below. You are seeing the S, whose value is half of the perimeter of the triangle.
Now look for the next question and answer.
Question 3: A right angular triangle whose hypotenuse and the base are 6m and 4m, respectively. Now find the area.
Solution:

Explanation:  we know the area formula  (1/2)*base*height for calculating the area. But in this question, height is unknown, though we know the hypotenuse and base. So we need to find the height. As you have seen in the tutorial on the triangle mensuration formula, the Pythagorean theorem can be used to find the height. So, we used it to find and applied to solve the problem. And finally used the formula (1/2)*base*height.
We will post more questions and answer on the triangle. Now, you may visit chapters-wise arithmetics math tricks or more mensuration formulas from here.