What fractional part of the shapes are polygons
2 answers:
Answer:
Step-by-step explanation:
We know that the polygons are the closed shapes made by combining the line segments together.
In the given picture , we have three kinds of shapes , i.e. Square , star and circle .
Since square and star are closed shapes made up of line segments but not circle, so the total polygons in the picture = 5
Total number of shapes =7
Then , the fractional part of the shapes are polygons :
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Hello,
To solve this problem we want to use the Pythagorean Theorem.
The pythagorean theorem states that for a 90° triangle,
where a and b represent the two legs of the triangle, and c represents the hypotenuse.
Let a = the longer leg and b = the shorter leg.
If the longer leg of the triangle is 1 foot longer than the shorter leg, then
a = b +1.
If the hypotenuse is 9 feet longer than the shorter leg, then c = b + 9.
Using the equations we created, we can plug them into the Pythagorean Theorem to solve for a, b, and c.
Doing this, we have:
Expanding this, we get
Solving for b, we get b = 20, and b = -4.
The length of the side of a triangle cannot be negative, so we know that b = 20.
However, we should check this with the original question to make sure it checks out.
a = b + 1
a = 20 + 1 = 21
c = b + 9
c = 20 + 9 = 29
So, we have a = 21, b = 20, and c = 29. (Also, 20-21-29 is a well known Pythagorean triple)
Using the Pythagorean Theorem, we have:
441 + 400 = 841
841 = 841, checks out.
So, the shorter leg is 20 feet, the longer leg is 21 feet, and the hypotenuse is 29 feet.
Hope this helps!
To solve this problem we want to use the Pythagorean Theorem.
The pythagorean theorem states that for a 90° triangle,
where a and b represent the two legs of the triangle, and c represents the hypotenuse.
Let a = the longer leg and b = the shorter leg.
If the longer leg of the triangle is 1 foot longer than the shorter leg, then
a = b +1.
If the hypotenuse is 9 feet longer than the shorter leg, then c = b + 9.
Using the equations we created, we can plug them into the Pythagorean Theorem to solve for a, b, and c.
Doing this, we have:
Expanding this, we get
Solving for b, we get b = 20, and b = -4.
The length of the side of a triangle cannot be negative, so we know that b = 20.
However, we should check this with the original question to make sure it checks out.
a = b + 1
a = 20 + 1 = 21
c = b + 9
c = 20 + 9 = 29
So, we have a = 21, b = 20, and c = 29. (Also, 20-21-29 is a well known Pythagorean triple)
Using the Pythagorean Theorem, we have:
441 + 400 = 841
841 = 841, checks out.
So, the shorter leg is 20 feet, the longer leg is 21 feet, and the hypotenuse is 29 feet.
Hope this helps!
Hey! Sorry I couldn't type this out on here so here is the image!
