Question

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​

Answer 1

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.

Answer 2

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. $\frac{1}{2}$ (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.  $\frac{1}{2}$ (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  $\frac{1}{2}$ (Base x Height)
• Thus, option (c) is correct.