Here is the problem:)
1 answer:
Answer:
Yes, there are exactly 2 ways to solve this triangle.
Step-by-step explanation:
Well we know that to find out a trigonometric ratio we are given an angle and a side, and we have to solve for the other side. In this case only 2 of the legs are given, hypotenuse is neither given nor asked. So we have to use the ratio that doesn't have hypotenuse included. Tangent is the only such ration. Now we can use either Tan(51) or Tan(39) to solve for the "x".
These would be the functions to solve for x:
1.) Tan(51) =
2.) Tan (39) =
Hope this helps!
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Answer:
From largest to smallest: FG, FH, GH
Step-by-step explanation:
Given
Required
Order the sides in descending order
First, we need to solve for x.
Perimeter of FGH is calculated as thus:
Substitute values for FG, GH, FH and Perimeter
Collect Like Terms
Reorder
Divide through by 24
Substitute 4 for x in FG, GH and FH
In order of arrangement in descending order, we have:
Consider the circle with center X, as shown in the figure.
Draw the diameter of the circle which is parallel to cherd AB, as shown in the figure.
Since the diameter and AB are parallel, then the line segment XC which bisects AB at C, will be perpendicular to AB.
SO triangle XCB is a right triangle. Thus the length of CX, by the Pythagorean theorem is
units.
Answer: 8 units
Draw the diameter of the circle which is parallel to cherd AB, as shown in the figure.
Since the diameter and AB are parallel, then the line segment XC which bisects AB at C, will be perpendicular to AB.
SO triangle XCB is a right triangle. Thus the length of CX, by the Pythagorean theorem is
Answer: 8 units