SOLUTION: the sides of a triangle measure 18in, 25 in, and 36in. to the nearest degree, what is the largest angle? I'm seeing a lot of stuff about the law of cosines, but our teacher has

Question 877448: the sides of a triangle measure 18in, 25 in, and 36in. to the nearest degree, what is the largest angle?
I'm seeing a lot of stuff about the law of cosines, but our teacher has never taught us that...I'm in pre-ap geometry
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
The largest angle will be opposite the longest side, let c be the largest side and we use the law of cosines
c^2 = a^2 + b^2 - 2abcos(C)
36^2 = 18^2 + 25^2 - 2*18*25*cos(C)
1296 = 324 + 625 - 900*cos(C)
1296 = 949 - 900*cos(C)
347 = -900*cos(C)
cos(C) = -347/900
cos(C) = -0.385555556
C = 112.678234186
The largest angle = 113 degrees

RELATED QUESTIONS
The sides of a triangle measure 18 inches, 25 inches, and 36 inches. To the nearest... (answered by Alan3354)

To the nearest degree, what is the measure of the largest angle in a triangle with sides... (answered by Alan3354)

The sides of a triangle measure 18 in, 25 in, and 36 in. To the nearest degree, what is... (answered by jim_thompson5910,ikleyn)

The three sides of a triangle measure 15, 17 and 18. Find the measure of the largest... (answered by Alan3354)

The sides of a triangle measure 11 cm, 18cm, and 23 cm. Find the measure of the largest... (answered by Alan3354)

The measures of the sides of a triangle are 10, 7, and 9. Find the measure of the largest (answered by KMST)

A triangle has sides of length 11 m, 12 m, and 16 m. What is the measure of the angle... (answered by Boreal)

(FIRST QUESTION) * Peter has three sticks measuring 19 cm,23 cm and 27cm.He lays them... (answered by stanbon)

in a triangle, the sides measure 3,5, and 7 what is the measure, in degrees of the... (answered by Theo)