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katrin [286]
3 years ago
12

The base and the height of a triangle are multiplied by 5/4. Which of the following describes the

Mathematics
2 answers:
lions [1.4K]3 years ago
8 0

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).

OLEGan [10]3 years ago
3 0

Answer:

The perimeter is multiplied by 5/4.

Step-by-step explanation:

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omeli [17]

Answer:

x^2+10x+16

Step-by-step explanation:

Plug in the values

h=x+8

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A=1/2(2x+4)(x+8)

A=(x+2)(x+8)

FOIL: x^2+8x+2x+16

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zubka84 [21]
Easy peasy
the fastest way is to pretend we have 1 big rectangle with  2 smaller rectangles cut out
see attachment

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Hear is a diagram showing a mixture of red paint and green paint needed for 1 batch of a particular shade of brown
Lelechka [254]

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Step-by-step explanation:

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Alan just got a Fall job. The equation P = 12.50h represents the salary P (in dollars) he will earn when he works h hours. How m
balandron [24]

Given:

Alan salary P (in dollars) when he works h hours is represented by the equation

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