Question

q1 - accelerated mathematics gr 8 | guided notes: modeling and solving problems in two dimens...
to solve for a leg, subtract the square of the known leg from the square of the
the pythagorean theorem is useful for calculating the
distance across a rectangular area.
a right triangle has one angle measuring
degrees.

Explanation:

1. In the Pythagorean Theorem \(a^{2}+b^{2}=c^{2}\), to find a leg (say \(a\)), we use \(a^{2}=c^{2}-b^{2}\), where \(c\) is the hypotenuse. So we subtract the square of the known leg from the square of the hypotenuse.
2. The Pythagorean Theorem can find the diagonal (straight - line distance) across a rectangular area as the diagonal forms the hypotenuse of a right - triangle within the rectangle.
3. By definition, a right - triangle has one angle measuring 90 degrees.

Answer:

1. Hypotenuse
2. Diagonal
3. 90