Question

find the lengths of all sides and the measures of all angles

Answer 1

and

Answer 2

You should recognize both the 45-45-90 Right Triangle and the 30-60-90 Right Triangle.

Answer 3

thank you ! how do you use trigonometry to find the sides ?

Answer 4

You don't.

1) The lengths of the sides are c.
2) The lengths of the sides are x ad xsqrt(3)

Answer 5

it only gives you 2 out of the 3 sides for both triangles

Answer 6

Use the pythagoras' theorem.

Answer 7

you can't use it in this instance . that's only for numbers not variables

Answer 8

Yes you can, it does not matter if they are variables

Answer 9

That's right.

45-45-90 right triangle has lengths c, c, and c*sqrt(2)

You can use the Pythagorean Theorem if you would like, but these two special cases should be in the tip of your tongue.

There is no difference between numbers and variables. Variables ARE numbers.

Answer 10

okay .. then how would you get it for the x and 2x triangle ? since its a 30-60-90

Answer 11

Have you learnt the value of \(\cos60^\circ\)?

Answer 12

Like I said in the beginning, you should KNOW these two special cases.

30-60-90

Hypontenuse 2x
Short side x
long side x*sqrt(3)

You can demonstrate with teh Pythagorean Theorem

\(\sqrt{(2x)^{2} - x^{2}} = \sqrt{4x^{2} - x^{2}} = \sqrt{3x^{2}} = x\sqrt{3}\)

Answer 13

OOOH okay i understand now . i haven't done math all summer and im trying to work on my review packet

Answer 14

Show me the 45-45-90.

Answer 15

Well, there you go!