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zhenek [66]
2 years ago
15

Pls help it’s due Friday !!!

Mathematics
2 answers:
miskamm [114]2 years ago
4 0
I’ve learned about this already!

I notice: All three squares are different sizes.
This proves: The Pythagorean Theorem is correct, and two smaller squares that form a right triangle are equal to the bigger square (the hypotenuse).
This proves it by having each smaller angle squared adding up to the bigger angle squared. Whenever these are equal, a right triangle is formed. One example is 5^2 (which is angle a squared) + 12^2 (which is angle b squared) = 13^2 (which is the hypotenuse, or c squared).
Alborosie2 years ago
3 0

Answer:

Square C is comprised of the areas of squares A and B

It proves that this triangle is a right triangle

By adding the areas of two perfect squares, A and B, square C can only be the sum. This proves the Pythagorean Theorem to be true, as the ratios to the sides, and therefore the equation, will remain fixed in any scalene right triangle.

Step-by-step explanation:

It doesn't really need further explanation

I like this question, though :)

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Line AC is tangent to circle O at point C<br> What is the measure of OAC?
Nuetrik [128]
AC is a tangent so by definition, it touches the circle at exactly one point (point C) and forms a right angle at the tangency point. So angle ACO is 90 degrees

The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180

Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
(angle OAC) + 135 - 135 = 180 - 135
angle OAC = 45 degrees

Side Note: Triangle OCA is an isosceles right triangle. It is of the template 45-45-90. 
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Step-by-step explanation:

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