Use the pythagorean theorem to find the length of the leg in the triangle shown below. the figure shows a right triangle with one leg marked 20. the hypotenuse is marked 25. the figure shows a right triangle with one leg marked 20. the hypotenuse is marked 25.

Second leg = 15

Step-by-step explanation:

From my understanding, you are supposed to find the second leg of the right triangle by Pythagoras theorem.

Hypotenuse: 25

One leg: 20

Second leg: x

Pythagoras theorem: hypotenuse² = adjacent² + opposite²

c² = a² + b²

25² = 20² + b²

b² = 25² - 20²

b² = 625 - 400

b² = 225

b = √225

b = 15

Therefore, the second leg of the right triangle is 15.

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.