1) Area of the triangle is equal to:
a. Base x Height
b. 2(Base x Height)
c. ½(Base x Height)
d. ½ (Base + Height
Answers
Area of the triangle is equal to ½ ( base × height )
∴ Option c
More info :-
Q. Does 1/2 base x height work for all triangles ?
Ans :- Yes ½(base x height) works for all triangles. Here is an interesting little demonstration to prove the formula.
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Q. Why triangles are ½ ( base × height ) ?
Ans :- A triangle is half as big as the rectangle that surrounds it, which is why the area of a triangle is one-half base times height.
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Q. What is the base and the height of a triangle ?
Ans :- 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 opposite vertex to that base.
Given:
Area of the triangle
To find:
Area of the triangle = ?
Solution:
Step 1 of 1
Check all the four formulas
- To find the correct formula, we must first check all the formulas given in the option.
a. Base x Height
- This formula is incorrect.
- To get the area of the triangle, the product obtained by multiplying base and height must be divided by 2.
- In the given formula, division by 2 is not mentioned.
b. 2(Base x Height)
- This formula is incorrect.
- To get the area of the triangle, the product obtained by multiplying base and height must be divided by 2.
- In the given formula, instead of 2 in division place, it is given in multiplication.
c. (Base x Height)
- This is the correct formula.
- It is because, the product obtained by multiplying base and height must be divided by 2.
- This formula gives the exact value for area of triangle.
d. (Base + Height)
- This is incorrect formula.
- It is because, the value of base and height must be multiplied, not added.
Final answer:
- Area of the triangle is equal to (Base x Height)
- Thus, option (c) is correct.