Answer:
A. 
General Formulas and Concepts:
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
sin 30°
<u>Step 2: Solve</u>
Since sin is opposite over hypotenuse, we need to find the length of the opposite leg of the angle and the length of the hypotenuse.
Given the triangle and it's values, the opposite leg to the 30° angle is 1 and the hypotenuse is 2.
Substituting it into sin, we have:
sin 30° = 1/2 = 0.5
∴ our answer is A.
Answer:
The third side must be 10: {3, 10, 10}; {10, 3, 3} is not possible.
Step-by-step explanation:
Everything depends on our understanding of "isosceles."
This term indicates that two sides of a given triangle are equal.
If two sides of an isosceles triangle have lengths of 3 and 10, then:
Either 1) Two sides have length 10 and the third side has length 3. This is certainly possible
or
2) sides have length 3 and the third side has length 10. This is NOT possible, since 3 + 3 adds up to 6, which is less than 10.
Answer:
60degrees
Step-by-step explanation:
For similar triangles, the angles of their angles are equal to matter the size.
Hence if triangle TRS is similar to triangle TMN, then;
<R = <M and <S = <N
Given that;
<T = 40 degrees
<R = 60degrees
<S = 80 degrees
Since <R = <M, then <M = 60degrees
Answer:
4√41
Step-by-step explanation:
From the Euclidean theorem y^2 = 16 × 41 ➡ y^2 = 656 and y = 4√41
Answer: Yes they can
Step-by-step explanation:
Use Pythagoras rule c²=b²+a²
b²=209
c²=15²=225
a²=4²=16
209+16=225
