# Solution of triangles Questions and Answers

Math

Solution of trianglesTriangle 1 has an angle measure 26° and an angle measures 53°. Triangle 2 has an angle that measures a where at # 53°. Based on the information, Frank claims that triangle 1 and triangle 2 cannot be similar. What value of will refute franks claim?

Math

Solution of trianglesThe triangle will be rotated by 180° clockwise around the point (3, 4) to create the triangle A'B'C'. Indicate whether each of the listed features of the image will or will not be the same as the corresponding feature in the original triangle by selecting the appropriate box in the table.

Math

Solution of trianglesSolve the triangle. Round to the nearest tenth.
In AEFD, f = 29, d = 21, e = 13
mZE = 25°, mZF = 131°, mZD = 24°
None of the other answers are correct
mZE = 30°, m≤F = 110º, m≤D = 40°
mZE=24°, mZF = 115°, mZD = 41°
mZE=25°, m<F = 111°, mZD=44°

Math

Solution of trianglesDetermine the measure of side d in the following diagram. Make sure that your answer is rounded to the nearest tenth.

Math

Solution of trianglesDetermine whether the Law of Sines or the Law of Cosines is needed to solve the triangle.
B = 13°, a = 155, b = 62
Law of Sines
Law of Cosines
Solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If two solutions exist, enter
the solution set with the smaller A-value first. If a triangle is not possible, enter IMPOSSIBLE in each corresponding answer blank.)

Math

Solution of trianglesThink About the Process In AABC, mZB is 5
times mZA and mZC is 16° less than 4 times
mZA. What equation is used to solve for the
variable x? Find the measure of each angle.
The figure is not drawn to scale.
Which of the following is the correct equation used to solve for the measure of each angle?
A. MZA+mZB+mZC= 180°
B. MZA-mZB-m/C= 180°
C. MZA-mZB+mZC = 180°
D. MZA+mZB-mZC= 180°

Math

Solution of trianglesUse the Law of Cosines to solve the triangle. Round your answers to two decimal places.
a = 11, b = 15, c = 21

Math

Solution of trianglesUse Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal places.)
A = 80°, b = 74, c = 42

Math

Solution of trianglesUse the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. A = 22° 32', a = 9.5, b = 22 Case 1: B = C = C= (smaller B-value) Case 2: B = C = C= (larger B-value)

Math

Solution of trianglesIn the figure, m∠1 = (7x+7)°, m∠2 = (5x+14)°, and m∠4 = (13x +9)°. Your friend incorrectly says that m∠4 = 15°. What is m∠4? What mistake might your friend have made?

Math

Solution of trianglesUse the Law of Sines to solve the triangle. Round your answers to two decimal places.
A = 20.1°, C = 51.2°, C = 2.2
B =
a =
b=

Math

Solution of trianglesFind the area of the triangle. Round your answer to one decimal place.
A = 66⁰, B = 43°, a = 7

Math

Solution of trianglesDetermine whether the Law of Sines or the Law of Cosines is needed to solve the triangle.
A = 41°, B = 36°, c = 3.6
O Law of Sines
O Law of Cosines
Solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If a triangle is not possible, enter IMPOSSIBLE in each
corresponding answer blank.)
C=
a=
b=

Math

Solution of trianglesDetermine whether the Law of Sines or the Law of Cosines is needed to solve the triangle.
a = 12, b = 14, c = 8
Law of Sines
Law of Cosines
Solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If a triangle is not possible, enter IMPOSSIBLE in each
corresponding answer blank.)
A =
B =
C =

Math

Solution of trianglesSolve ΔABC, given A=43°, a = 2.5 cm, and b= 3.6 cm. Begin by sketching and labeling a diagram. Account for all possible solutions. Express each angle to the nearest degree and each length to the nearest tenth of a unit.