In this triangle, which of the following is true?
2 answers:
Answer:
Option C. x = 55° and a = 11.47 is the correct option.
Step-by-step explanation:
As we know sum of all angles of a triangle = 180°
Therefore in the triangle given
35° + 90° + x = 180°
125° + x = 180°
x = 180° - 125° °°
x = 55°
Now we we find the sine of 35°
sin35° =
sin35°=
0.5736 =
a = 20×0.5736
a = 11.47 units
Therefore, option C. x = 55° and a = 11.47 is the correct option.
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1. 5 in and 1/3 in: Area = 5/3 in^2
2. 5 in and 4/3 in: Area= 20/3 in^2
3. 5/2 in and 4/3 in: Area=10/3 in^2
4. 7/6 in and 6/7 in: Area = 1 in^2
Step-by-step explanation:
<u>1. 5 in and 1/3 in</u>
Here,
<u>2. 5 in and 4/3 in</u>
Here,
<u>3. 5/2 in and 4/3 in</u>
<u>4. 7/6 in and 6/7 in</u>
<u>Let</u>
<u>Hence,</u>
1. 5 in and 1/3 in: Area = 5/3 in^2
2. 5 in and 4/3 in: Area= 20/3 in^2
3. 5/2 in and 4/3 in: Area=10/3 in^2
4. 7/6 in and 6/7 in: Area = 1 in^2
Keywords: Rectangle, Area
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