Question

Let Δ be the area of a triangle. Find the area of a triangle whose each side is twice the side of the given triangle.

Answer 1

Step-by-step explanation:

Answer 2

Answer:

The area of the new triangle is 4 times of the area of the given triangle.

Step-by-step explanation:

• Let, b is the base and h is the height (altitude) of the given triangle.

• So, area of the triangle Δ =  $\dfrac{1}{2}$ × b × h

• ∵ the each side of the new triangle is twice the each side of the given triangle.

• ∴ the base and the altitude of the new triangle will be 2b and 2h.

• ∴ the area of the new triangle = $\dfrac{1}{2}$ × 2b × 2h

                                                   = $\dfrac{1}{2}$ × b × h × 4

                                                   = 4 Δ

so,the area of the new triangle is 4 times of the area of the given triangle.