Question
If the sides of a triangle are all doubled the
area.Solution
ATQ, If the sides of a triangle are all doubled, the area of the triangle increases by a factor of 4. Let A be the original area of the triangle with sides a, b and c. The Semiperimeter (s) is given as {s = (a+b+c)/2} The original area 'A' is given by Heron's formula: Now if we double all the sides, the new sides are 2a, 2b and 2c , and the new Semiperimeter (s') is {s' = (2a +2b+2c)/2} = 2s The new area A′ is given by Heron's formula with the new sides:
Now, let's compare A′ with A:
Therefore, doubling the sides of a triangle results in an area that is 4 times larger.
56.02% of 1499.98 + 64.04% of 2501.01 = ? + 25.05 × 49.98 + 6.063
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
10.232 + 19.98% of 539.99 = ? × 7.99
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
630.11 ÷ 20.98 × 5.14 – 125.9 = √?Â
79.79% of 299.87 - 54.67% of (39.982 - 9.822 ) = ? - 19.92 × 199.98
(5/9 of 2700.11) + (49.78% of 143.88) - (2/7 of 489.89) = ?
18.22 × 11.99 + 154.15 = ?
21.11 × 4.98 + 22.03 × 4.12 – 31.95 + 95.9 × 3.02 =?