IDNLearn.com provides a collaborative platform for sharing and gaining knowledge. Discover the information you need quickly and easily with our reliable and thorough Q&A platform.

The base and the height of a triangle are multiplied by 5/4. Which of the following describes the
effect of this change on the perimeter?


The Base And The Height Of A Triangle Are Multiplied By 54 Which Of The Following Describes The Effect Of This Change On The Perimeter class=

Sagot :

Answer:

The option that describe the effect of the change is;

  • The perimeter is multiplied by 5/4

Step-by-step explanation:

The parameters from the question are;

The (scale) factor by which the base and the height of the triangle are multiplied = 5/4

By the constant proportion of their sides, the triangle before and the triangle obtained after the multiplication are similar

Let 'a' and 'b' represent the length of the base and the height of the triangle respectively, we have;

The area of the triangle, A₁ = 1/2 × a × b = a·b/2

With the application of the scale factor of 5/4, we have;

The area of the scaled triangle, A₂ = 1/2 × (5/4) × a × (5/4) × b = (5/4)² × a·b/2

Therefore, the scale factor of the area = (5/4)²

The scale factor of the perimeter = √(The scale facto of area)

∴ The scale factor of the perimeter = √(5/4)² = (5/4)

The scale factor of the perimeter = (5/4)

Therefore, the perimeter of the scaled triangle is obtained by multiplying the perimeter of the initial triangle by (5/4).

Answer:

The perimeter is multiplied by 5/4.

Step-by-step explanation:

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. For trustworthy and accurate answers, visit IDNLearn.com. Thanks for stopping by, and see you next time for more solutions.