Question

help me create an example? i did the word part but i need an example for each

Answer 1

here are the questions with my answers:

1. If I know the lengths of two sides of a right triangle, how do I find the third?
Pythagorean Theorem; a^2 + b^2 = c^2

2. Could I find the two missing side lengths of a right triangle if I only know one side length and one angle measure (other than the 90 degree angle)?
yes. Law of Sines; sin(a)/A = sin(b)/B = sin(c)/C where a,b,c are the angles of the triangle and A, B, C are the projected sides.

3. Could I find the two missing angle measures if I know some of the side lengths of a right triangle?
Use the theorem to find the lengths of triangle and apply them to the Law of Sines. You will need to have at least 2 lengths known.

4. What makes a triangle a “special” right triangle? How can special right triangles help me find side lengths?
Special right triangles have set ratios for the lengths of each side of the triangle.

Answer 2

In 4. are they asking about 30-60-90 or 45-45-90 triangles?

Examples for 1) use the standard 3-4-5 right triangle. label two of the legs and mark the third unknown

Answer 3

in number four it doesnt spicifically state anything

Answer 4

You can use a 30-60-90 as an example in 4. label the longest side 1, the side opposite 30 = 1/2 and the remaining side sqrt(3)/2

Answer 5

For 2. use a 30-60-90 triangle. label the 30 deg angle as known, and the side opposite it as 1/2

show you can find the hypotenuse: h/sin(90) = 0.5 / sin(30)
and show you can find the 2nd side: x/sin(60) = 0.5/ sin(30)

Answer 6

for 3) label the two legs 3 and 4. (that will make the hyp 5)
then use
sin(A)/3 = sin(90)/5 to find the A opposite the side with length 3
sin(B)/4 = sin(90)/5 to find the angle B opposite the side with length 4

Answer 7

so for number one just put this,

Answer 8

yes. then label h . then write 3^2+4^2= h^2 9+16= h^2 , 25=h^2 , 5= h

Answer 9

so this will be my drawing and then just right the equation you wrote