A playground is 75 yards by 75 grounds. Calvin walked across the playground from one corner to the opposite coner. How far did he get

d = 75√2 yds

Step-by-step explanation:

Use the Pythagorean Theorem to find the length of the diagonal of the playground:

(75 yd)^2 + (75 yd)^2 = d^2, or

d^2 = 2(75 yd)^2

Taking the square root of both sides, we get:

d = 75√2 yds

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.