Plane trigonometry, by S.L. Loney.

THE THREE SIDES GIVEN.

193

EXAMPLES. XXIX.
1. If the sides of a triangle be 56, 65, and 33 feet, find the greatest
angle.
2. The sides of a triangle are 7, 4 ^/3, and ^/13 yards respectively.
Find the number of degrees in its smallest angle.
3. The sides of a triangle are 2 + x + 1, 2x + 1 and x2 - 1; prove that
the greatest angle is 120~.
4. The sides of a triangle are a, b, and /a2 + ab + b2 feet; find the
greatest angle.
5. If a=2, b-=/6 and c =^3 - 1, solve the triangle.
6. If a=2, b =/6 and c=1/3+ 1, solve the triangle.
7. If a =9, b=10 and c-ll, find B, given
log 2 = '30103, L tan 29~ 29' = 97523472,
and L tan 29~ 30' = 9-7526420.
8. The sides of a triangle are 130, 123 and 77 feet. Find the
greatest angle, having given
log 2= 30103, L tan 38~ 39'= 99029376,
and Ltan 38~ 40'= 99031966.
9. Find the greatest angle of a triangle whose sides are 242, 188, and
270 feet, having given
log 2=-30103, log3= 4771213, log7= 8450780,
L tan 38~ 20' = 98980104, and L tan 38~ 19' = 9'8977507.
10. The sides of a triangle are 2, 3, and 4; find the greatest angle,
having given
log 2 =-30103, log 3= -4771213,
L tan 52~ 14'= 10-1108395,
and L tan 52~ 15'= 10 1111004.
Making use of the tables, find all the angles when
11. a=25, b=26 and c=27.
12. a=17, b= 20 and c=27.
13. a=2000, b=1050 and c=1150.
L. T. 13