If the sides of a triangle have the following lengths, find a range possible values for x
1 answer:
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Use the tangent-chord theorem:
The included chord-tangent angle is half the size of the intercepted arc.
The intercepted arc is "c".
The included chord-tangent-angle is the supplement of 110=70 degrees.
Therefore from the tangent-chord theorem, 70 degrees = half the size of arc "c"
=>
arc "c" = 2*intercepted angle = 2*70 degrees = 140 degrees.
The included chord-tangent angle is half the size of the intercepted arc.
The intercepted arc is "c".
The included chord-tangent-angle is the supplement of 110=70 degrees.
Therefore from the tangent-chord theorem, 70 degrees = half the size of arc "c"
=>
arc "c" = 2*intercepted angle = 2*70 degrees = 140 degrees.
The hypotenuse of the right triangle measures 3 units.
<h3>How to find the hypotenuse?</h3>
Here we know that both legs measure:
If we use the Pythagorean theorem, we will see that the hypotenuse H can be written as:
Then we conclude that the hypotenuse of the right triangle measures 9 units.
If you want to learn more about right triangles:
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