Question

Geometry Help please!! I will post the question as an equation

Answer 1

Tag me when you are done with your equation ;)

Answer 2

Oh okay thanks!!!!

Answer 3

30°-60°-90° triangle has a hypotenuse with a length of 10. What is the length of the longer leg of the triangle?

A. 5

B. \[5\sqrt3\]

C.\[5\sqrt2\]

D. 20

Answer 4

@sammixboo

Answer 5

Ok, first let's solve B. and C.... Do you know how to solve them?

Answer 6

Kinda

Answer 7

not really xD

Answer 8

to find the sides of a 30°-60°-90° triangle, i usually use this formulas

i let \(x\) be the shortest side
so since the hypotenuse is twice as long as the shortest side it will be \(2x\)
and for the other side it will be \(x \sqrt{3}\)
(if you are wondering where i get these, i applied basic trigonometric identities, SOH CAH TOA)

now you are given the length of the hypotenuse 10,
so from the formula, 10=2x
so the shortest side will be x=5
the longer side is \(x\sqrt{3}\), if x=5, the longer side will be??


if you did not understand my method,just let me know, i'll try to explain the other method :)

Answer 9

No idea what you just said

Answer 10

alright,
let's try method 2 using trig identities.
you are looking for A or the longer side \(\Large sin\ \theta = \frac{opposite}{hypotenuse}=sin\ 60°=\frac{A}{10}\)
solving for A, you'll get \(\Large A=10sin\ 60°\)