<span>1) The problem says that the quilt squares are cut on the diagonal to form triangular quilt pieces. Then, the triangle pieces have angles of 45°, and the legs have the same lenght. So, you can solve the exercise by applying </span><span>the Pythagorean Theorem: </span> h²:s²+s² h²=2s² h²/2=s² s=√(h²/2)
"h" is the hypotenuse (h=10 inches) and "s" is the length of the sides.
When you substitute the value of the hypotenuse into the formula s=√(h²/2), you obtain the sides length:
s=√(h²/2) s=√(10²/2) s=5√2
What is the side length of each piece?
The answer is: 5√2
2)Tan(α)=Opposite/Adjacent
α=30° Opposite=17 Adjacent=x
When you substitute these values into Tan(α)=Opposite/Adjacent, you obtain:
