Question

PLEASE PLEASE HELP! HOW DO IDO THIS!

Solve for x.
https://media.glynlyon.com/g_geo_2012/5/group134.gif

Answer 1

Using the theorem of Pythagorus
\[x ^{2}=5^{2}+8^{2}\ .......(1)\]
Can you solve to find x?

Answer 2

im confused =/

Answer 3

I have nver been good at these

Answer 4

What is \[5^{2}=5\times5=?\]

Answer 5

25

Answer 6

Correct! Now what is
\[8^{2}=8\times8=?\]

Answer 7

64

Answer 8

So we now have
\[x ^{2}=5^{2}+8^{2}=25+64=89\]
Taking the square root of both sides gives
\[x=\sqrt{89}\]

Answer 9

wow. thank you!

Answer 10

but.. how do i find out what x=? on this problem https://media.glynlyon.com/g_geo_2012/5/group135.gif

Answer 11

do I just do 8x2? would the answer be 16?

Answer 12

and what would Y=? 13.9? am I correct

Answer 13

Your answer is correct for the value of x. However the exact value of y is
\[y=8\sqrt{3}\]

Answer 14

I used the standard 30 degrees, 60 degrees, 90 degrees triangle to get the exact value.

Answer 15

so y equals 21.6?

Answer 16

@Breton, you are addressing a particular series of problems which all evolve around a triangle with a straight angle (which is an angle of 90 degrees in it). This is usually indicated by the little square placed in the straight angle.

If you have such a triangle, you have six different numbers that you need to find. The first three are the lengths of each leg, the other three are the three angles. One of the last three is simple: it is the straight angle at 90 deg, so you need to find the other two.

All of the questions you get, are based on some of these six numbers being given, while you're asked to calculate the missing ones. There are some simple recipes to do that, which always work:

1) 2 of the 3 legs are given, like in your initial problem. In that case you can use a simple relationship: D*D = X*X + Y*Y, where X and Y are the legs forming the straight angle and D is the length of the 'diagonal', which is the only leg NOT connected to the straight angle.

2) you have one leg and one angle other than the 90 deg angle. In that case you can use formula 2) in the drawing. Fill out the ones that you know and calculate the requested unknown variables.

Does this work for you ?

Answer 17

\[y=8\sqrt{3}=13.85640646\]