the altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. what is the length
of the altitude.
1 answer:
Answer:
B.
Step-by-step explanation:
The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.
This can be represented as:
Where,
h = the length of the altitude,
x and y are the lengths of the 2 segments formed.
Therefore, the length of the altitude =
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Alright!
To solve, all we need to do is <em>subtract the area of the inner circle from the arear of the outer circle.</em>
But first, we need to find the area of both
Key equation: πr²
π = 3.14
Inner cirle area = π13²
π13² = 530.66
Outer cirle area = π21²
I got 21 by adding 8 and 13: both added together makes the radius of the larger circle
π21² = 1,385.74
Now let's <em>subtract. </em>
1,385.74 - 530.66 = 855.08
The area of the blue is = 855.08 yards²
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Part 2:
Hexagon with 6cm sides and an apothem of
The answer is C. 93.53
From the shaded diagram, Raphael will need 3 of the 6 equal portions, or exactly 1/2 of the area of the circle. Given a radius of 12 ft, knowing that the area of any given circle is 
, and knowing that the area of the fabric needs to be half of the total area, we can set up the equation for the area of the fabric 
:
Simplifying, we find that the area of the fabric is exactly
ft.² Using the approximation of 3.14 for π, we get an area of approximately 
ft² of fabric.
Simplifying, we find that the area of the fabric is exactly