Question 2 of 6
2 answers:
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Answer:
<h2>The length of the line segment VT is 13 units.</h2>Step-by-step explanation:
We know that SU and VT are chords. If the intersect at point R, we can define the following proportion
Where
Replacing all these expressions, we have
Solving for , we have
Now, notice that chord VT is form by the sum of RT and RV, so
Replacing the value of the variable
Therefore, the length of the line segment VT is 13 units.
Answer:
9) 6.3 units
11) n=6√2 and m=12,
10) m=6√3, n=6
12) 330.6 ft
Step-by-step explanation:
1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.
Let the missing side, which is the hypotenuse be x.
Then
The missing side is 6.3 units to the nearest tenth.
2) This is an isosceles right triangle.
This implies that, the two legs are equal.
The hypotenuse can be found using Pythagoras Theorem.
3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x
From the diagram, the hypotenuse is 12, therefore the other two legs are
and
4) The height of the monument is 115 feet, the hypotenuse is 350.
By Pythagoras Theorem,