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Answer:
x = 14
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + x² = (14 )²
2x² = 392 ( divide both sides by 2 )
x² = 196 ( take the square root of both sides )
x = = 14
Thus the congruent legs are 14 cm
Using relations in a right triangle, it is found that:
- Since x and y are complementary angles, we have that sin(xº) = cos(yº).
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
The hypotenuse in this problem is given as follows:
h = 10.
The sine of x is:
The cosine of y is:
Since x and y are complementary angles, we have that sin(xº) = cos(yº).
More can be learned about relations in a right triangle at brainly.com/question/26396675
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