Answer: 241/4%
hope this helped
Answer:
c = 13
m∡A = 60°
m∡B = 30°
Step-by-step explanation:
This is a 5-12-13 triangle. However, to make sure, I will put the steps.
Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:
a² + b² = c²
Plug in the corresponding numbers to the corresponding variables:
5² + 12² = c²
Simplify. First, solve the exponents, and then add:
(5²) = 5 * 5 = 25
(12²) = 12 * 12 = 144
25 + 144 = c²
c² = 169
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:
√c² = √169
c = √169 = √(13 * 13) = 13
c = 13
13 is your answer for c.
Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).
You solve the problem and the answer is 982,810 :)
To find the measure of the third angle you should keep in mind the following:
The sum of the three interior angles of a triangle is 180 °.
We have then
k + 27 + 10 = 180
Clearing k:
k = 180-27-10 = 143
K = 143 °
Answer:
the value of k is 143 °
Answer:
16 square units
Step-by-step explanation:
The area of the large triangle is
A = 1/2 bh
A = 1/2 (9) * 8 = 36
The area of the small triangle is
A = 1/2 bh
A = 1/2 (8) (5) = 20
The difference is the shaded region
A = 36-20 = 16
