right right

3√13 6 9 9 13 36 81 117 117 is 29 16 24 841 256 576 841 832 isn't

Both of these are actually one theorem called The Converse of the Pythagorean Theorem. acute acute obtuse obtuse

4.2 6 The other two aren't necessary, in my opinion. 4.2 2.8 3.2 17.64 7.84 10.24 17.64 < 18.08 less acute

two lines 5 a right perpendicular

right acute obtuse

a2 + b2 ? c2 42 + 52 ? (2√10)2 16 + 25 ? 40 41 > 40 ACUTE ∆ a2 + b2 ? c2 152 + 182 ? (3√61)2 225 + 324 ? 549 549 = 549 Right ∆

6.1 + 9.4 > 11.3 15.5 > 11.3 Yes, these segments can form a triangle. 6.12 + 9.42 ? 11.32 37.21 + 88.36 ? 127.69 125.57 < 127.69 Since c2 is greater than a2 + b2 the ∆ is Obtuse Since the sides of the triangle satisfy the Pythagorean Theorem it is a right ∆. Therefore, the 50in and 120in side must be perpendicular to each other. a2 + b2 = c2 502 + 1202 = 1302 2500 + 14400 = 16900 16900 = 16900