Question

Find AC Square in the figure alongside.
Answer = 39.06​

Answer 1

Answer:

according to que

<B = 90

AB = 5

AD = 9

BC = CD

so as per the condition

in Δ A BD by pythagoras therom

AD² = AB² + BD ²

put all the values

we get

9 ² = 5² +BD²

81= 25+ BD²

81-25= BD²

56 = B D ²

taking squre root out

BD = √56

BD=√ 14 x 4

BD = 2 √14

now as per Diagram

BC + CD = BD

mean

BC = CD = √14

now in ,Δ ABC

by pythagoras therom

AC² =AB² + BC²

AC ² = 5² + √14²

AC² = 25 + 14

AC² = 39

Ac = √39