Through a point on the hypotenuse of a right triangle, lines are drawn parallel to the legs of the triangle so that the triangle is divided into a square and two smaller right triangles. The area of one of the two small right triangles is m times the area of the square. The ratio of the area of the other small right triangle to the area of the square is:.
(A) 1/(2m + 1)
(B) m
(C) 1 - m
(D) 1/(4m)
(E) 1/(8m^2)

D 1/4m

Step-by-step explanation:

Similarly in Mathematics shows that two right triangles are similar. Thus the ratio of the sides of the triangles are the same. Since A = 1/2bh = h/2, according to the figure, the height of the triangle with area m is 2m. Therefore 2m/1 = 1/x  where x is the base of the other triangle. X = 1/ 2m,

The ratio of the area of the other small right triangle to the area of the square is the area of that triangle which is

 1/2 × 1 × 1/2m = 1/4m

please find the attached file for the figure.

2/3

step-by-step explanation:

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