(60 points to best answer) (asap and you)
kayla wants to find the distance, ab, across a creek. she starts at point b and walks along the edge of the river 62 ft and marks point c. then she walks 93 ft further and marks point d. she turns 90° and walks until her final location and marks point e. point e, point a, and point c are collinear.

can kayla conclude that ∆abc and ∆edc are similar? why or why not?

suppose (de) ̅=125 ft. calculate the distance of (ab) ̅ to the nearest tenth of a foot. show your work. don’t forget to label your answer.

Step-by-step explanation:

Since, In the given diagram,

The sides of the triangles ABC and EDC are,

BC = 62 feet, DC = 93 feet and DE = 125 feet(given)

And, angles B and D are right angles,

⇒

   ( Vertically opposite angles )

By AA similarity postulate,

The sides of similar triangles are in same proportion ,

⇒  

⇒  

⇒  

By substituting the values,

We get,

⇒  

⇒  

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x