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nadya68 [22]
3 years ago
15

A, B & C form a triangle where

Mathematics
1 answer:
kumpel [21]3 years ago
8 0

Answer:

Pythagoras \ theorem,\\BC^2 = AB^2 + AC^2 = 12.2^2 +8.3^2 =217.73\\\\BC =14.8mm

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The second side of a triangular deck is 4 feet longer than the shortest side, and the third side is 4 feet shorter than twice th
xxTIMURxx [149]
We don’t know the value of the shorter side, so we will categorize it as x. Side 2 is just 4 feet longer than x, so we would add 4 on to it. Side 3 has double the x, so we would multiply it be 2 for 2x, and subtract the 4 feet from it.

Side 1: x
Side 2: x + 4
Side 3: 2x - 4

If the perimeter is 64 feet, then all of the sides have to add up to it. Therefore, first we add all of the side lengths up:

x + x + 4 + 2x - 4 = 4x.

Now we put 4x, the amount of all these sides added up, equal to the perimeter of 64.

4x = 64. Divide both sides by 4 to get x by itself.
x = 16.

Now that we know x is 16, we will substitute it in for all the side lengths’ equations.

We know that Side 1 was just x, so that will be 16. Since Side 2 was 4 more than x, we’d do 16 + 4 = 20. We substitute 16 in for x in Side 3’s equation: 2(16) - 4 = 32 - 4 = 28.

Therefore, the final lengths of all the sides are:

Side 1: 16
Side 2: 20
Side 3: 28
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3 years ago
2 2/3 + 2 <br> By The Way, This is Fractions
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4 2/3. add the twos and keep the 2/3
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Here is the answer With working

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A chord is 15 cm long. It is 9 cm from the center of the circle. What is the radius of the circle?
Maurinko [17]

Answer:

a²+b²=c²

7.5²+9²=c²

137.25=c²

√137.25=c²

11.72.... = c

The Radius of the circle is approximately 11.72cm

Step-by-step explanation:

Using this data. Create a Triangle with the Chord and Center of the dot. We know the distance between the chord and center which is one length of one of the sides.

We split the chord from the intersecting line from the center to the chord making the second line being 7.5cm

After We draw a line from the center of the circle to where the chord meets to the edge of the circle to create the triangle

We now have 2 measurements and can use Pythagorean Theorem to determine the radius from the missing length of the triangle.

3 0
3 years ago
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