Answer:
1. 12/13 and 5/13
2. 5/13 and 12/13
3. The sin of <A and cos of <B are congruent.
Since "Sine" is Opposite/Hypotenuse and Cosine is adjacent hypotenuse...
The opposite of angle A is 12, and the hypotenuse is 12, therefore making 12/13.
The adjacent of angle B is 12, (The adjacent side is the side next to the opposite that is not the hypotenuse) and the hypotenuse is 13, therefore making 12/13. (The hypotenuse never changes no matter how you look at the triangle.)
Sin <A = 12/13
Cos <B= 12/13
Answer:
1/5,1/4,1/20, yes, yes
Step-by-step explanation:
Answer:
Leg of an isosceles right triangle is 7.99 long.
Step-by-step explanation:
Given:
Length of the hypotenuse =11.31
To find:
Length of the leg of an isosceles right triangle =?
Solution:
According to Pythagorean's Theorem, we have
-----------------------------(1)
Here were are given as isosceles triangle, so the two sides will be of same length
So equation 1 can be rewritten as


Substituting the value of hypotenuse





a = 7.99
If half of two acres was planted with green beans, the answer would be one acre
Actually, when you know 2 sides and an included angle, you use the Law of Cosines. (and we don't know if theta is an included angle).
Solving for side c
c^2 = a^2 + b^2 -2ab * cos(C)
c^2 = 36 + 16 - 2*6*4 * cos(60)
c^2 = 52 -48*.5
c^2 = 28
c = 5.2915
Using the Law of Sines
side c / sin(C) = side b / sin (B)
5.2915 / sin(60) = 4 / sin (B)
sin(B) = sin(60) * 4 / 5.2915
sin(B) = 0.86603 * 4 / 5.2915
<span><span>sin(B) = 3.46412
</span>
/ 5.2915
</span>
<span><span><span>sin(B) = 0.6546571451
</span>
</span>
</span>
Angle B = 40.894 Degrees
sin (A) / side a = sin (B) / side b
sin (A) = 6 * sin (40.894) / 4
sin (A) = 6 * 0.65466 / 4
sin (A) = .98199
angle A = 79.109 Degrees
angle C = 60 Degrees