Math, asked by NahilSharma, 6 months ago

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

Answered by MathWizzMan
28

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.

________________

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.

________________

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.

Answered by marishthangaraj
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.

Similar questions