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ANEK [815]
3 years ago
14

When a triangle is inscribed in a semicircle where a diameter of the circle is a side of the​ triangle, the triangle formed is a

lways a right triangle. If an isosceles triangle​ (two equal​ sides) is inscribed in a semicircle with a radius of 9 ​inches, find the length of the two legs of the triangle.
Mathematics
1 answer:
sashaice [31]3 years ago
3 0

Answer:

Step-by-step explanation:

diameter = 18 inches

each leg = 18/√2 = 9√2 ≅ 12.7 inches

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Answer:

a. y = 3x - 11

b. y = -1/3 x - 1

Step-by-step explanation:

The line on the graph increases by 3 every time it moves over 1. This means that the slope of the given line is 3.

a. When 2 equations are parallel, their slopes are the same, so the slope of this equation will be 3. To find the y-intercept, plug in the values of the slope and the given point (3, -2) into the equation y = mx + b:

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The y-intercept is -11. Now we can write our equation:

y = 3x - 11

b. When 2 lines are perpendicular, their slopes are negative reciprocals. The negative reciprocal of 3 is -1/3. We can use the slope and the given point (3, -2) to find the y-intercept:

-2 = -1/3(3) + b

-2 = -1 + b

-1 = b

The y-intercept is -1. Now we can write our equation:

y = -1/3x - 1

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8 0
3 years ago
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joja [24]

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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