Find the area of triangle if its each side is doubled in percentage?
For any type of triangle if you doubled the area and juxtapose it with the orignal,they will always be similar.
In similar triangles,ratio of areas is equal to ratio of the square of corresponding sides.
Area 2 / Area 1=(side 2/Side 1)square.
Find the area of triangle if its each side is doubled in percentage?
Introduction:
In this problem, we are given a triangle and we need to find the area of the triangle when each side is doubled in percentage. To solve this problem, we will use the concept of the area of a triangle and the formula for calculating the area of a triangle.
Given:
- A triangle
To find:
- The area of the triangle when each side is doubled in percentage
Formula:
The area of a triangle can be calculated using the formula:
Area = (1/2) * base * height
Step-by-Step Solution:
Step 1: Understand the problem
- We are given a triangle.
- We need to find the area of the triangle when each side is doubled in percentage.
Step 2: Recall the formula for the area of a triangle
- The area of a triangle is given by the formula: Area = (1/2) * base * height
Step 3: Identify the given sides of the triangle
- Let's assume that the given sides of the triangle are a, b, and c.
Step 4: Double each side of the triangle
- Since each side of the triangle is doubled in percentage, we can calculate the new sides as follows:
New side a = a + (a * 2/100)
New side b = b + (b * 2/100)
New side c = c + (c * 2/100)
Step 5: Calculate the new area of the triangle
- Now that we have the new sides of the triangle, we can calculate the new area using the formula: Area = (1/2) * new base * new height
- The new base can be taken as the new side a, and the new height can be calculated using the Pythagorean theorem.
Step 6: Simplify the equation and calculate the area
- Simplify the equation obtained in step 5 and calculate the new area of the triangle.
Step 7: Finalize the answer
- The final answer is the new area of the triangle when each side is doubled in percentage.
Conclusion:
In this problem, we have learned how to find the area of a triangle when each side is doubled in percentage. We used the formula for the area of a triangle and calculated the new sides of the triangle by doubling each side in percentage. Finally, we calculated the new area of the triangle by substituting the new sides into the formula and simplifying the equation.
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