Find the length of the missing side. If necessary, round to the nearest tenth. side A = 38 side b =b side c = 34
2 answers:
The length of the missing side = side B = <em><u>17 (D) or 51(A)</u></em>
<h3>Further explanation </h3>Triangles are flat fields bounded by 3 intersecting sides and 3 angles
This side can be the same length or different.
If at an angle there is an angle of 90 degrees, this triangle is said to be <em>a right angle </em>
There is a hypotenuse in this triangle which is the sum of the two sides
where c = hypotenuse
a and b = side/leg
This formula is known as the Pythagorean theorem which states that:
<em>the hypotenuse or the longest side in a right triangle equal to the sum of the squares of the other sides. </em>
or
<em>the sum of the squares of the length of the two sides equals the square of the length of the hypotenuse </em>
While the angle formulas used are
- sin a = opposite / hypotenuse
- cos a = adjacent / hypotenuse
- tan a = opposite / adjacent
From the problem it is known that side A = 38 ,side b = b, side c = 34
There are 2 possible solutions to this problem because the image does not exist:
- 1. side A as the hypotenuse side (the longest side)
- 2. side B as hypotenuse side
Possible Solution no 1
A² = C²+B²(A=hypetenuse)
B² = A²-C²
B² = 38² - 34²
B² = 288
B = √288
B = 16.97, round to the nearest tenth ⇒ 17 (answer D)
Possible Solution no 2
B² = A²+C²(B=hypotenuse)
B² = 38² + 34²
B² = 2600
B = √2600
B = 50.99, round to the nearest tenth ⇒ 51 (answer A)
<h3>Learn more </h3>
the Sin rule
trigonometric ratio
the triangle angle
Prove the converse of the Pythagorean Theorem
Use Pythagoras' theorem
Keywords: Pythagoras' theorem, the trigonometric, hypotenuse
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Step-by-step explanation:
GIVEN: Suppose that in a certain county of voters are registered as Democrats,
as Republicans,
as Green party, and the rest are considered Independents. You conduct a poll by calling registered voters in the county at random.
TO FIND: Probability that the first call will be to either a Democrat or a Republican.
SOLUTION:
Lets total population of county be .
voters registered as Democrats
voters registered as Republicans
voters registered as Green party
Probability that first call will be to Democrats
Probability that first call will be to Republican
probability that the first call will be to either a Democrat or a Republican
Hence the probability that the first call will be to either a Democrat or a Republican is