Answer:
sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5
Step-by-step explanation:
We need to find sine, cosine, and tangent of theta for this triangle.
First, define the different trigonometric functions:
- sine is opposite side to the angle divided by the hypotenuse (longest side not adjacent to the 90 degree angle)
- cosine is the adjacent side next to the angle divided by the hypotenuse
- tangent is the opposite side to the angle divided by the adjacent side
Now, look at theta (θ):
- the opposite side is marked 12
- the adjacent side is marked 5
- the hypotenuse is marked 13
So:
- sin(θ) = opposite / hypotenuse = 12/13
- cos(θ) = adjacent / hypotenuse = 5/13
- tan(θ) = opposite / adjacent = 12/5
Thus the answers are: sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5.
Answer:
199/25
Step-by-step explanation:
Answer:
C) When an altitude is drawn from the right angle of a right triangle it creates three similar triangles.
Step-by-step explanation:
The Inscribed Similar Triangles Theorem states that if an altitude is drawn from the right angle of any right triangle, then the two triangles formed are similar to the original triangle and all three triangles are similar to each other.
Answer:
Step-by-step explanation:
ABC have sides: 5, 7 and 10
5^2 + 7^2 = 25+47 = 72 < 10^2
so triangle ABC is obtuse
JKL has sides: 12, 35 and 37
12^2 + 35^2 = 144 + 1225 = 1369 = 37^2
so triangle JKL is right-angled
PQR has sides 12, 10 and 16
12^2 + 10^2 = 144 + 100 = 244 > 16^2
so triangle PQR is acute
