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Komok [63]
3 years ago
10

Logan is flying a kite that is made yo if three similar rectangles. The sides of the three rectangles are in the ratio 1:2:3. If

the area of the smallest rectangle is 72 square inches, what are the areas of the other two rectangles?
Mathematics
1 answer:
Ad libitum [116K]3 years ago
4 0
To solve the question we need to note that:
area scale factor=(linear scale factor)^2
linear scale factor=1:2:3
Area scale factor=1^2:2^2:3^2=1:4:9

Hence, given that the area of the smallest triangle is 72 sq. inches, the area of:
medium triangle will be:
4/1*72=288 sq. inches

largest triangle will be:
9/1*72=649 sq. inches

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Answer:

\triangle EDF is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are <u>given</u> the following things:

\angle EDF = y

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Let us try to find out \angle E and \angle DFE. After that we will compare them.

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\angle GFE = 180 = \angle DFE  + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)

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<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external \angle DFG = \angle E + \angle EDF

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Comparing equations (1) and (2):

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