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17. The area of the large square below is 49 centimetres squared. What are the side lengths of the shaded triangle?

17. The area of the large square below is 49 centimetres squared. What are the side-example-1

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Answer:

12.25,12.25,7

Explanation:

Formula of Area of square= length x breadth

In a square all side are equal as we all know that which means if the Area of the square is
49cm^(2) if we take the root of 49 it gives us 7 so the length and breadth of the square is equal to 7 as shown in my figure i uploaded. Please excuse my professional drawing skills ( pun intended :D)

The dotted lines i assume shows that sides are being bisected into two equal halves which means the whole side equals 7cm and the half is 7/2 equals 3.5cm so the bottom half side of the triangle is 7cm but the two slant heights we have to find we can find it by using phythogra's theorem

(Hypotnuse)^2=(Length^2) x (Breadth)^2

we need to find just one side of the hypotnuse/slant height then we multiply it by 2 which would gives us both of our hypotnuse sides so

(Hypotnuse)^2= (3.5)^2 x (3.5)^2

(Hypotnuse)^2=150.0625

Apply square root on both sides gives us


Hypotnuse = 12.25

Since the traingle is covered by two slant height's the sides of the traignle are 12.25cm 12.25cm and 7cm

17. The area of the large square below is 49 centimetres squared. What are the side-example-1
User Willascend
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