What is the answer to b
2 answers:
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Answer:
radius = 13
Step-by-step explanation:
Look at the attached picture below. We can calculate radius with the help of the Pythagorean theorem. But first we have to find out the values of the two legs.
First let's find the shorter leg.
<u>Equidistant Chords Theorem</u>
Two chords are congruent if they are equidistant from the center.
Chords in the picture are congruent and that means that the distance from the center to each of them is the same!
Let's calculate the distance. But to get the distance we have to find x first.
Since the distances are the same:
Therefore:
Let's focus on the longer leg. Since part of the radius is perpendicular to the chord, it actually bisects the chord! That means that the long leg is going to be a half of the length of the chord.
Therefore:
All that is left is the Pythagorean Theorem in the right triangle.
<u>Pythagorean Theorem</u>
Hypotenuse in our case is the radius.
The area of a triangle in determined by the formula:
where b is the base of the triangle and h is it's height
You just have to replace the b and h with their values in the formula (b=9.9ft and h=5.5ft)
The answer is 27.225 ft^2
where b is the base of the triangle and h is it's height
You just have to replace the b and h with their values in the formula (b=9.9ft and h=5.5ft)
The answer is 27.225 ft^2
Answer:
3x - 4y = 0
Step-by-step explanation:
The triangle Δ ABC has vertices A(0,0), B(0,4) and C(3,0).
Therefore, the equation of the straight line BC in intercept form will be
⇒ 4x + 3y = 12
⇒ .......... (1)
This is a equation in slope-intercept form and the slope is .
Now, the altitude AR is perpendicular to equation (1) and hence its slope will be .
{Since, the product of slope of two mutually perpendicular straight line is always - 1}
Therefore, the equation of the altitude AR which passes through A(0,0) will be
⇒ 4y = 3x
⇒ 3x - 4y = 0 (Answer)