Hello from MrBillDoesMath!
Answer:
10.2
Discussion:
Let the length of the missing side = "s" Applying the Pythagorean theorem to this right triangle gives:
4^2 + s^2 = 11^2 =>
16 + s^2 = 121 => ( 4*4 = 16, 11*11 = 121)
16 - 16 + s^2 = 121 - 16 => (subtract 16 from both sides)
s^2 = 105 =>
x = sqrt (105)
which is approximately 10.2
Regards,
MrB
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!
Answer:
The measure of ∠BDA is 30 Degrees.
Step-by-step explanation:
Lets construct a trapezium with the given data
If O is the point of intersection of the diagonals, ∆ AOD ~ ∆COB. Then
On substituting the given values
Also we know that AC = 6 . That is
AO + OC = 6 or OC = 6 - AO
substituting for CO and cross multiply
5·AO = (6-AO)·7
5AO = 42 - 7AO
12AO = 42
AO = = 3.5
All of the angles at E are right angles, so has the trigonometric ratio
= = 0.5 =
∠BDA = arcsin(1/2) = 30°
(34-4) + 65) X 45
(30 + 65 X 45
30 + 2925
2955