A six year old makes a rainbow using only a garden hose; I captured it using iMovie, then my ten year old student adds music and edits it!
Gwen R.'s Resources
prove that a square ABCD is half the area of a square ACEF, when the segment AB is half of the segment AE (answer)
How do we know which square is larger? ACEF (because its diagonal AE is longer than its side AC, which happens to be the diagonal of ABCD). Comparing the large square to the small square the ratio of similarity is √2, so the ratios of the areas is √2 squared, 2. So the larger square has twice...
The area of a square with sides of 8 ft is 64 square feet. Use the formula for area of a square: A=s*s Answer is 64 square feet
If a square has area 16 square cm, then each of its sides is 4. Use the Pythagorean theorem to find the diagonal of this square measures 4√2 cm. If you square 4√2 you get 32. Answer if 32.
Most everyone knows the Pythagorean Theorem and you can use it to solve this problem. Where is the right triangle? Connect the points (-2,4), (1,0) and (-2,0). One leg measures 3, the other leg measures 4, so the hypotenuse is 5! Five is the length of half PQ, so the whole line segment PQ is...