The triangle above is a right triangle having sides a, b, and c. Given that the measurements of a = 12 cm, b = 16 cm, and c = 20 cm, which of the following statements is true? A. The sum of the squares of the 2 smaller sides is equal to the third side. B. The absolute value of the difference between the squares of the 2 smaller sides is equal to square of the third side. C. The sum of the squares of the 2 smaller sides is equal to the square of the third side. D. The sum of the 2 smaller sides is equal to the third side.

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

ƒ = 0.03b

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step-by-step explanation: