124k views
4 votes
Please answer! I need this asap

Please answer! I need this asap-example-1

1 Answer

4 votes

Answer: x = 7*sqrt(30)

=======================================================

Step-by-step explanation:

Let h be the height of largest triangle. It is the vertical segment in the diagram.

The three triangles are similar, so we can form the proportion shown below to solve for h.

7/h = h/35

7*35 = h*h

245 = h^2

h = sqrt(245)

------------------

Now focus on the medium-sized triangle on the right. It has legs of 35 and sqrt(245). The hypotenuse is x.

Use the pythagorean theorem.

a^2 + b^2 = c^2

(sqrt(245))^2 + (35)^2 = x^2

245 + 1225 = x^2

x^2 = 1470

x = sqrt(1470)

x = sqrt(49*30)

x = sqrt(49)*sqrt(30)

x = 7*sqrt(30)

User Rick Su
by
8.1k points

No related questions found