Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarly In the given triangle ABC, angle A ls 90 and segment AD is perpendicular to segment BC Part A: Identify a pair of similar triangles (2 points) Part B: Explain how you know the triangles from Part A are similar (4 points) Part C: I DB = 9 and DC = 4, find the length of segment DA Show your work (4 points)

Question

03-11-2022
Mathematics

Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarly In the given triangle ABC, angle A ls 90 and segment AD is perpendicular to segment BC Part A: Identify a pair of similar triangles (2 points) Part B: Explain how you know the triangles from Part A are similar (4 points) Part C: I DB = 9 and DC = 4, find the length of segment DA Show your work (4 points)

Sagot :

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.

1. A mass of 30kg is suspended from a massless rope on one side of a massless, frictionless pulley. A mass of 10kg is connected to the rope on the other side of

Given that the straight line passing through the points A (2, -3) and B (7, k) has gradient, a find the value of k, b show that the perpendicular bisector of A

Assistance thank you

Y=k√x and y=7 and x=9. What is the value of y when x=36

Let W be the subspace of R3 spanned by the vectors u1=<1,-2,1> and u2=<-13,8,5> Find the matrix A of the orthogonal projection onto W.

How high will the carne need to operate and how much weight will it need to lift?

Write a polynomial function with the given zeros and their corresponding multiplicities. possible answers. h(x) = Zeros 0 2 1 Mult. 2 3 3 304 3 1 4

Express [tex]\int\limits^2_0 \frac{x^2}{3} dx[/tex] as a limit of the Riemann Sums taking sample points to be right endpoints.

A sales tax is charged on some items at a grocery store but not charged on others. When the taxable items total t dollars and the non-taxable items total n doll

The graph above shows the distance a tow truck is away from the company's base. What is the rate of change of change from hour 4 to hour $7 ?

TanveerP779066 TanveerP779066 · Answer 1 · 2022-11-03T20:34:01-04:00

a)

The pair of similar triangles are triangles ABD and ACD

b)

The triangle is given such that angle A is 90°

If point D is on line BC, then it touches angle A. However line AD is perpendicular to line BC,which means it splits the angle at A into two equal halves.

Hence, you now have two right angled triangles, on the one hand, triangle ABD and on the other hand, triangle ACD. The first one has angle D measuring 90° and line AB as the hypotenuse. The second one also has angle D measuring 90° with it's hypotenuse at line AC.

c)

The angle A which is 90 degree has been splitted into two(2) equal halves by the line segment AD, thus each angle is 45 degrees.

This is shown in the diagram below:

Applying the Tangent trigonometry ratio to solve for the line segment DA, we have:

[tex]\begin{gathered} \text{Tan 45}^0=\frac{opposite}{adjacent} \\ \text{Tan 45=}\frac{9}{|DA|} \\ 1=\frac{9}{|DA|} \\ |DA|=9 \end{gathered}[/tex]

Hence, the length of the line segment DA is 9 units

Sagot :

Other Questions