Imagine taking a cube and slicing it open from one of the corners.
The exposed area of the cube would be a triangle. See the image for reference.
The exposed area of the cube would be a triangle. See the image for reference.
A square has an area of 1 square unit. What is the length of the square?
2 answers:
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Answer:
- Disitributive property.
- Addition property of equality.
Step-by-step explanation:
The complete exercise is attached.
For this exercise you need to remember the following properties:
1. The Distributive property states that:
2. The Addition property of equality states that:
Then, given the equation:
You can identify that the first property John used was the Distributive property:
After combining like terms, you can identify that the next property he applied was the Addition property of equality, adding to both sides of the equation:
Ok, from your picture, it looks like you have a square and a right triangle next to each other
one of the definition of a square is that all 4 sides are equal, and its given to you that the square has a side length of 3
since the triangle shares a side with the square, that means that shared side has a length of 3
ok, now how about determining the unknown length x
well the base has a length of 5, but you also know that when you add the length of the square side plus x, you should get 5
3+x = 5
and you can solve for x (subtract 3 from both sides)
x=2
now how about determining side length y
well since you know this is a right triangle, you can apply pythagorean theorem
where C is the hypothenuse of the triangle, or the longest side
when you substitute the known values (3 and x)
you get
3^2 + x^2 = y^2
since you already know x=2
3^2 +2^2 = y^2
and you can solve for y
any questions?
one of the definition of a square is that all 4 sides are equal, and its given to you that the square has a side length of 3
since the triangle shares a side with the square, that means that shared side has a length of 3
ok, now how about determining the unknown length x
well the base has a length of 5, but you also know that when you add the length of the square side plus x, you should get 5
3+x = 5
and you can solve for x (subtract 3 from both sides)
x=2
now how about determining side length y
well since you know this is a right triangle, you can apply pythagorean theorem
where C is the hypothenuse of the triangle, or the longest side
when you substitute the known values (3 and x)
you get
3^2 + x^2 = y^2
since you already know x=2
3^2 +2^2 = y^2
and you can solve for y
any questions?