Find the value of side a on the right triangle, given that side b = 12 cm and side c = 15 cm. a) 3 cm b) 9 cm c) 25 cm d) 27 cm

B=9

Step-by-step explanation:

9 cm. It is a right triangle so you must use the Pythagorean Theorem to find the missing side: a2+ b2 = c2. You would have a2 + 122 = 152. So a2 + 144 = 225 where you subtract 144 from each side to get a2 = 81. Then you take the square root of both sides to get a = 9.

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.