University:
Missouri State University
Course:
MTH 460 | College Geometry
Academic year:

2022
Views:

478

Pages:

7
Author:

folclord7m

Special Right Triangles: 45-45-90 In a 45°-45°-90° A, the hypotenuse is sqrt(2) times as long as a leg. *A 45°-45°-90° A is a(n) isosceles A, so the legs are Congruent Rule: 45 X 45 X 90 x * sqrt(2) angles rules, x Kanswers 45 x * sqrt(2) 45 Solve for x first. * Remember: A fraction that contains a radical in its denominator can be expressed as an equivalent fraction with a rational denominator (a denominator without a fraction). Rationalize the following: 1.5.13-513 133 19 3 2. 6√2 612-6√2 = 3√2 2√√प 2 = 2 √2-14√2:14√27√2 3. 14.2 2 45-45-90 Practice Problems Directions: Find all missing side lengths. 1. 45° 4 45° x = 4 45 45 90 X X X * sqrt(2) 4sqrt(2) 2. 45° 45° 3sqrt(2) (3sqrt(2))/(sqrt(2)) = (x * sqrt(2))/(sqrt(2)) X = 3 45 45 90 XX X * sqrt(2) 32 3sqrt(2) 45-45-90 Practice Problems Directions: Find all missing side lengths. 3. 45 45° 5 4. 45° 6sqrt(2) 45 (x * sqrt(2))/(sqrt(2)) = (6sqrt(2))/(sqrt(2)) 45 45190 45 45 90 X X X * sqrt(2) X X X * sqrt(2) 5555 6sqrt(2)