M102
Pythagorean Theorem
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Sign inPythagorean Theorem
Definition:
A theorem in geometry: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides
HOW TO:
The square of the length of the hypotenuse of a right triangle is the sum of the squares of the lengths of the two sides. This is usually expressed as a2+b2 = c2. Integer triples which satisfy this equation are Pythagorean triples.
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Lyrics
Pythagorean Theorem
Pythagorean Theorem, aye (x8)
Along time ago a guy by the name of Pythagoras
Discovered something and it was pretty amazing
And matter fact it was brilliant it was called
Pythagorean Theorem
But the people didn’t want to hear it
Until he proved and made it useful
Now today it’s very useful in schools
To find the measurements of angles
A2+B2= C2 the hypotenuse
A2 is a leg B2 is a leg too and that’s Pythagorean Theorem
Now what it do
If you measure it it’s 90 degrees
It’s a right angle, right angle
If you measure it and its 180 degrees
It’s a triangle, triangle
Pythagorean Theorem, aye (x8)
Pythagorean Theorem, aye (x8)
Standards
- CCSS.MATH.CONTENT.8.G.B.7 — Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
- CCSS.MATH.CONTENT.HSG.SRT.B.4 — Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
- CCSS.MATH.CONTENT.8.G.B.6 — Explain a proof of the Pythagorean Theorem and its converse.
- CCSS.MATH.CONTENT.8.G.B.8 — Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
- CCSS.MATH.CONTENT.HSF.TF.C.8 — Prove the Pythagorean identity sin2(?) + cos2(?) = 1 and use it to find sin(?), cos(?), or tan(?) given sin(?), cos(?), or tan(?) and the quadrant of the angle.