- Math »
- If the base of a triangle is increased by 10% and the Altitude is decreased by 10% then the new Area of the Triangle

# If the base of a triangle is increased by 10% and the Altitude is decreased by 10% then the new Area of the Triangle

Calculate the new area of a triangle after increasing its base by 10% and decreasing its altitude by 10%.

by Maivizhi A

**Updated **Mar 05, 2024

## If the base of a triangle is increased by 10% and the Altitude is decreased by 10% then the new Area of the Triangle

**The new area is decreased by 1%.**

To find the new area of the triangle after increasing the base by 10% and decreasing the altitude by 10%, we'll use the formula for the area of a triangle: Area = (1/2) * base * altitude.

Let's assume the original base of the triangle is 'b' and the original altitude is 'h'.

After increasing the base by 10%, the new base will be 1.1b (since increasing by 10% means adding 10% of the original value). After decreasing the altitude by 10%, the new altitude will be 0.9h (since decreasing by 10% means subtracting 10% of the original value).

Therefore, the new area of the triangle will be:

New Area = (1/2) * (1.1b) * (0.9h)

New Area = (1/2) * 1.1 * 0.9 * b * h

New Area = 0.99 * (1/2) * b * h

New Area = 0.99 * Original Area

This means that the new area will be 99% of the original area. So, the new area is decreased by 1%.

## Area and Perimeter of a Triangle

The area A of a triangle can be calculated using various methods, but one common formula is:

A = (1/2) * base * height

where the base is the length of one side of the triangle, and the height is the perpendicular distance from the base to the opposite vertex.

The perimeter P of a triangle is the sum of the lengths of its three sides. If the lengths of the sides are a, b, and c, then the perimeter P is given by:

P = a + b + c

These formulas can be applied to any triangle, whether it's equilateral, isosceles, or scalene. Just make sure you have the necessary side lengths and height to calculate the area, and the lengths of all three sides to calculate the perimeter.

## If the base of a triangle is increased by 10% and the Altitude is decreased by 10% then the new Area of the Triangle - FAQs

1. What happens to the area of a triangle if you increase its base by 10% and decrease its altitude by 10%?

The new area of the triangle decreases by 1%.

2. What formula is used to calculate the area of a triangle?

The formula for the area of a triangle is A = (1/2) * base * height.

3. How is the perimeter of a triangle calculated?

The perimeter of a triangle is the sum of the lengths of its three sides: P = a + b + c.

## Recent Updates

- Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevati...
- Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading...
- Aman’s salary is first increased by 25% and then decreased by 20%. The result is the ...
- P and S can complete a piece of work in 20 and 15 days respectively. They worked togeth...
- Each day that a library book is kept past its due date, a $0.30 fee is charged at midni...
- Teri goes shopping for some new clothes and then out to lunch with a friend. She spends...
- Two pipes A and B can fill a tank is 8 minutes and 14 minutes respectively. If both the...
- A and B stand at distinct points of a circular race track of length 135 m. They cycle a...
- The image of a candle flame placed at a distance of 30 cm from a mirror is formed on a ...
- In pea plants, Tall plant height is dominant over short plant height. If there are 200 ...
- A wall of length 10 m was to be built across an open ground. The height of the wall is ...
- A company contracts to paint 3 houses. Mr. Brown can paint a house in 6 days while Mr. ...
- In a forest 20% of Mushrooms are Red, 50% Brown and 30% White. A Red mushroom is poison...
- In a large population, 76% of the households own microwaves. A simple random sample of ...
- A bag contains 8 red marbles, 9 yellow marbles, 7 green marbles. How many additional re...