Question

\[\text{area}=\dfrac{1}{2}\times \text{base} \times \text{height}\]

Which of the following is correct?
A. Calculation of area needs altitude
B. Calculation of area by the given formula doesn’t need altitude.
C. Bases can be AB, BC or AC
D. None of the above

Answer 1

Hint: In this question, we need to check whether the given statements are correct or not. A triangle is a geometrical figure which has three sides, three angles and three vertices . First, we need to know the base of a triangle is any one of the sides and the height of the triangle is the length of the altitude from the vertex to that base. Let us check the given statements one by one whether they are correct or not.

Complete step-by-step answer:
Given, a triangle ABC.
Let us check the given statements one by one.
First statement is the calculation of the area needed for altitude.
We know that the area of the triangle ABC is half the product of base and altitude of the triangle.
That is \[\text{area}=\dfrac{1}{2}\times \text{base} \times \text{altitude}\] .
Thus our given statement is correct.
Second statement is that the calculation of area by the given formula doesn’t need altitude.
In order to calculate the area of the triangle, we must need altitude which is not given in the formula.
Thus the second statement is not correct .
The third statement is bases can be AB, BC or AC
In a triangle, the base can be AB, BC or AC.
Thus this statement is correct.
Last is none of the above, so we can just ignore that statement.
Therefore statements A and C are the correct statements.

So, the correct answer is “Option A and C”.

Note: In order to solve these types of questions, we should have a strong grip over the concepts of triangles. The area of the triangle is half the product of the base and height of the triangle. The perimeter of the triangle is the sum of all the sides of the triangle. If two angles of a triangle are given, we can easily find the third angle of the triangle. We also need to remember that we should not get confused about taking the bases of the triangle. Even if the base is taken as AB or AC , then also our triangle would be the same. So we need not get confused with the base of the triangle.