82.) a varies directly as b and inversely as the square of c, and a=10, when b=8 and c=2. Find a when b=20 and c=5.
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The segment that will give the height of the peak is the segment that is located from the right angle to the peak.
To find the height, we can use the fact that we have two similar triangles.
We are going to define a variable.
We have:
x: height of the peak.
For similar triangles, we have the following relationship:
From here, we clear the height of the peak
Answer:
the equation for the proportion that will allow you to find the height of your peak is:
To find the height, we can use the fact that we have two similar triangles.
We are going to define a variable.
We have:
x: height of the peak.
For similar triangles, we have the following relationship:
From here, we clear the height of the peak
Answer:
the equation for the proportion that will allow you to find the height of your peak is:
This exercise is about a proof in Euclidian geometry. See the explanation below.
<h3>What is Euclidian Geometry?</h3>The study of solid and flat objects using the axioms and theorems developed by the Greek mathematician Euclid is known as Euclidean geometry (c. 300 bce).
<h3>What is the statement that completes the above proof?</h3>Given that S is the midpoint of :
Hence QS = TS ......................1
It is right to indicate that
PQ = TV ........................2
And ∠RSQ is vertically opposite to ∠TSV
Hence
∠RSQ = ∠TSV.........................3
Given 1, 2, and 3,
Δ QRS ≅ ΔVTS
Therefore,
Δ QRS ≅ ΔVTS
and ∠ RSQ can be termed to be congruent to ∠TSV.
<h3>What does it mean for an angel to be congruent?</h3>It is to be noted that the measure of an angle is the same for congruent angles. An ordinary pentagon, for instance, has five sides and five angles, each of which is 108 degrees.
The angles of a regular polygon will always be congruent, regardless of its size or scale.
Learn more about Euclidean Proof:
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