Question

If the area of the triangle on the left ids 73 5 sq. units, find the height. *


h= 15. 2

h= 13.4

h= 12.2

h= 15. 6

Answer 1

Answer:

h= 13.4 unit

Step-by-step explanation:

let length of base of left triangle= x

=> length of base of right triangle= 11-x

using Pythagoras theorem

15²= x²+h²..........................(1)

14²= (11-x)²+h²....................(2)

(1) - (2)

=> 15²-14²= 22x-11²

=> (15+14)(15-14) = 22x-121

=> 29+121= 22x

=> x = 150/22 = 75/11 unit

putting in (1)

225= (6.82)²+h²

=> h²= 178.5

=> h= 13.4 unit

option 2nd is correct

=> h= 13.4