Ryan is putting a clothesline in his rectangular backyard. He wants to put it between two trees on the edge of his property. He has measured his property, and made the sketch shown below, where all the lengths listed are in meters.

25

Attached is the missing image and explanation

Step-by-step explanation:

From the attached image;

The smallest length of the rope can be derived by drawing a line across the field.

Such that the two trees and a point on the 25 length forms a right angle triangle as shown in the attached image.

The right angle triangle formed is of sides

20 , l and (25-10) = 15

To determine the value of l using Pythagoras theorem;

l² = 20² + 15²

l² = 400+225 = 625

l = √625

I = 25

The smallest length of rope that Ryan could buy which would stretch from one tree to the other = 25 m

Step-by-step explanation:

The first attached image shows the full question.

The second attached image shows the right angled triangle that could be formed with the distance between the trees, the width of the property and the distance between the horizontal lines of the trees traced along the length of the property.

Let the required distance of the trees apart be d.

Using Pythagoras theorem, d is the hypotenuse side of the right angled triangle.

d² = 20² + 15² = 625

d = 25 m

Hope this Helps!!

the answer is d

for problems like this theres an app, its photomath that explains the problem and gives the answer hope i

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft