Please someone help me I'm stuck on my homework for at least a hour
1 answer:
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Answer:
5.66 inches
Step-by-step explanation:
a² + 7² = 9²
a² + 49 = 81
a² + 49 - 49 = 81 - 49
a² = 32
a = square root of 32
a = 5.6568 or 5.66 inches
I used the Pythagorean Theorem to solve this.
Answer:
<h2>Side YZ is 8 units long.</h2>Step-by-step explanation:
We can deduct form the graph that segment WO is a radius of the circle and XY is its diameters.
By given, we know that , which means
, by radius definition.
An important characteristic of tangents about circles is that the tangent is always is perpendicular to the radius, that means and
is a right triangle, that means we can use Pythagorean's Theorem to find the side YZ.
Where is the hypothenuse and
,
are legs of the triangle.
Replacing all given values, we have
However, by sum of segments, we have
, where
and
Therefore, side YZ is 8 units long.