Question

find the unknown length X in the following figure​

Answer 1

Answer:

here is your solution

Step-by-step explanation:

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Answer 2

Answer:

(4+3√15)m

Step-by-step explanation:

using Pythagoras theorem that states that in a right angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

therefore:

in ∆ABD

AD^2 + BD^2 = AB^2

3^2 + BD^2 = 5^2

9+BD^2 = 25

BD^2 = 25-9 =16

BD = √16 = 4

similarly using Pythagoras theorem in ∆ADC

AD^2 + DC^2 = AC^2

DC^2 = AC^2 - AD^2

DC^2 = 12^2 - 3^2

DC^2 = 144-9= 135

DC = 3√15

x= BD + DC

x = (4+ 3√15)m