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Pre-Calculus Homework Solutions 24

Pre-Calculus Homework Solutions 24 - [6 1]2(5 7)2 72 2)2 53...

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Chapter 2 26 PR 5 Ï [6 2 ( w 2 1)] 2 w 1 (5 2 w 7) 2 w 5 Ï 7 2 1 ( w 2 2) 2 w 5 Ï 53 w The lengths PQ , QR , and PR are all different, so n PQR is a scalene triangle. 26. A square has 4 congruent sides. From the name of the square the sides are H w I w , I w J w , J w K w , and K w H w . Thus, HI 5 IJ 5 JK 5 KH . 27. A rectangle has 4 sides where opposite sides are congruent. From the name of the rectangle the sides are P w Q w , QR ww , S w R w , and P w S w . The pairs of opposite sides are P w Q w , S w R w and Q w R w , P w S w . Thus, PQ 5 SR and QR 5 PS . 28. A triangle that has a right angle is a right triangle. The Pythagorean Theorem is true for every right triangle. Since / B is the right angle of the triangle, the hypotenuse is A w C w and the legs are A w B w and B w C w .So ( AB ) 2 1 ( BC ) 2 5 ( AC ) 2 . 29. False; 30. False; if y 5 7 and m 5 5, then 7 1 5 \$ 10 and 5 \$ 4, but 7 µ 6. 31.
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