how many triangles can you make with the given lengths of three line segments are 4 centimeters, 5 centimeters, and 9 centimeter
1 answer:
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Option B:
25 degrees
Solution:
Given data in triangle PQR,
The side opposite to angle P is p.
The side opposite to angle Q is q.
The side opposite to angle R is r.
q = 36, r = 20, angle Q = 50°.
<u>To find the measure of angle R:</u>
Using law of sine,
Take only two sides.
Substitute the given values.
Do cross multiplication.
sin 50° = 0.766
⇒ R = 25.18°
⇒ R = 25° (approximately)
Option B is the correct answer.
Hence the measure of angle R is 25 degrees.
First, I would multiply the last two fractions because they're smaller and easier to work with:
Now that we've simplified it, we could multiply these terms and simplify. An easier method, however, would be to cancel out any common factors among the numerators and denominators before multiplying:
We can now multiply these terms:
The <span>product of 8/15, 6/5, and 1/3 is B, 16/75.</span>