Note: Let us consider, we need to find the and
.
Given:
In the given figure, BD is the angle bisector of ABC.
To find:
The and
.
Solution:
BD is the angle bisector of ABC. So,
Divide both sides by 2.
Now,
And,
Therefore, and
.
Which of the following shows a number as a product of prime numbers in exponential form? Choose all that apply. 32 · 5 · 7 42 ·
1 answer:
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Answer:
The measure of angle F is 67.6°
Step-by-step explanation:
In the right triangle DEF
∵ ∠E is the right angle
∵ Side DF is opposite to ∠E
∴ DF is the hypotenuse of the triangle DEF
∵ Side EF is the adjacent side of ∠F
∵ The cosine ratio =
∴ cos∠F =
∵ EF = 8 units
∵ DF = 21 units
→ Substitute them in the cosine ratio above
∴ cos∠F =
→ Use to find the measure of angle F
∵ m∠F =
∴ m∠F = 67.60731219 degrees
→ Round it the nearest tenth of a degree
∴ m∠F = 67.6°
∴ The measure of angle F is 67.6°