Question

The figure shows a triangular wooden frame ABC. The side AD of the frame has rotted and needs to be replaced.

What is the length of the wood that is needed to replace AD?

6.2 inches

4.2 inches

6.9 inches

5.1 inches


i keep getting 6.9 but I'm really not sure

Answer 1

base number is ten, this is twelve

Answer 2

LOLS

Answer 3

do u know the properties of 30-60-90 triangle and 45-45-90 triangle ?

Answer 4

yes

Answer 5

can u find BD ?

Answer 6

one divides by 2 the other 3

Answer 7

not exactly sure how to

Answer 8

side opposite to 60 angle is \(\sqrt3\)/2 times the hypotenuse, so what will be DC ??

Answer 9

6.9?

Answer 10

i'm so lost...

Answer 11

how ?
BC=\(\sqrt3\)/2.DC
so DC = BC *2/\(\sqrt3\) = 24/\(\sqrt3\)
got this ?

Answer 12

side opposite to 30 degree is half the hypotenuse, so BD=(1/2)DC
BD = 12/\(\sqrt3\)
ok ?

Answer 13

since ABC is 45-45-90 triangle,
AB=BC=12

Answer 14

now AD = AB-BD
= 12-12/\(\sqrt3\)
= ???

Answer 15

12-12/\(\sqrt3\) = 5.07 =5.1 (approximately)
see all the steps, ask if u did not understand any of it.

Answer 16

5.1 right causea its 5.0717

Answer 17

oh ok thank you so much!!! :))

Answer 18

welcome :)
make sure u understand.

Answer 19

i do believe i understand now, thanks :)