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°

Respond to this Question

First Name
School Subject
Your Answer

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