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Airida [17]
2 years ago
11

Malachi has sticks that represent 4 different segment lengths: 3 inches, 4 inches, 5 inches, and 6 inches.

Mathematics
1 answer:
Dahasolnce [82]2 years ago
6 0

Answer:

Create a triangle with the 3-, 4-, and 5-inch sticks and measure the angles to show that one angle is a right angle.

Step-by-step explanation:

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Answer:

We have a small circle, that is dilated by a factor of 5/3 creating a larger circle.

If the smaller circle has a diameter D, then after the dilation, the larger circle will have a diameter equal to: (5/3)*D

We know that the area of the larger circle is:

A = 100*pi cm^2.

And the area of a circle of diameter d, is:

a = pi*(d/2)^2

knowing that the diameter of the large circle is (5/3)*D, we can find the value of D.

A = pi*( (5/3)*D/2)^2 = 100*pi cm^2

let's solve this for D:

pi*( (5/3)*D/2)^2 = 100*pi cm^2

( (5/3)*D/2)^2 = 100 cm^2

( (5/3)*D/2) = √(100 cm^2) = 10cm

D/2 = (3/5)*10cm

D = 2*(3/5)*10cm = 12cm.

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