# Geometry

posted by .

In triangle ABC, side AB = 10, side AC = 13, and side BC = 16. What is the measure of the larges angle in degrees?

• Geometry -

the larger angle Ø must be across from the larger side, so by the cosine law....

16^2 = 10^2+13^2 - 2(10)(13)cosØ
260cosØ = 13
cosØ = 13/260 = 1/20 = .05
Ø = 87.1°

## Similar Questions

1. ### Math

Suppose Triangle ABC has right angle C. Find the measures of the other sides to the nearest whole number if...?
2. ### math geometry

if triangle ABC is a right triangle.If side AC=5 and side AB=10,what is the measure of side ABC?
3. ### Math

In triangle ABC, angle C is a right angle. Find the measure of angle B if side b = 105 m and side c = 139 m. (Points : 1) 49° 59° 53° 47°
4. ### Geometry

In triangle ABC, side AB = 10, angle B = 65 degrees, and angle C = 45 degrees. What is the length of side BC?
5. ### geometry

Jim has put a fence along the side AC of the triangular patch of land shown below. A right angle triangle ABC is shown having length of one leg equal to 6 meters. The measure of angle ABC is 90 degrees. A fence is shown on the hypotenuse …
6. ### precal help asap

If a triangle ABC has A = 52 degrees, side a = 178, and side b = 234, then what is the measure of B?
7. ### algebra

angles of a triangle The second angle of a garden triangle is four times as large as the first. the third angle is 45 degrees less than the sum of the other two angles. find the measure of each angle. 15 x 4=60 x 3 = 180 side a=15 …
8. ### geometry

Triangle ABC is a right triangle. If side AC=5 and side BC=6, What is the measure of side AB which is the hypotenus
9. ### Geometry

To the nearest meter, find the length of side DE in triangle DEF, given angle F=54 degrees, side DF=70 m, and side EF=50 m. Please show work!
10. ### math

Using a ruler and a pair of compasses only, construct triangle ABC in which angle BAC is 45 degrees, side AB is 7cm and side AC is 9cm. Locate P, inside the triangle ABC, which is 5cm from A and equidistant from B and C

More Similar Questions