If A, B, and C are the measures of the angles of any triangle and if a, b, and c are the lengths of the sides opposite the corresponding angles, then the Law of Cosines states that

Q: In △ABC, ∠C is a right angle. If AB = 35 and BC = 15, Find the measure of angle B.

A: In the solution we use properties of triangle of cousin of angle B.

Q: If 760. and 41 represent the lengths of a triangle , using degree-minutes ,to what minute would you…

A: We need to find the round off of the angle in degrees and minutes.    1 degree = 60 minutes     OR…

Q: Find the remaining angle(s) and side(s) of each triangle,if it (they) exists.If no triangle…

A: A=100°,  a=5  &  c=2 By using Sine rule, we have…

Q: Let a, b, and c be the sides of a triangle and let 0 be the angle opposite c. Use the Law of Cosines…

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Q: Angles c and g are on the same base , so they are .....

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Q: If AB = 26, BC = 10, and DE = 5, then the ratio for sin (EDA) isi 5 12 13 12 13 26 :: :: :: B.

A: Topic: triangle

Q: If A, B, and C are the measures of the angles of any triangle and if a, b, and c are the lengths of…

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Q: If an angle in an adjacent triangle is congruent to an angle in another aligned triangle and the two…

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Q: The longest side of a right angled triangle is 20 cm and one of the other sides is 16 cm. Find the…

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Q: As discussed in the lesson, in the third step of constructing an angle that is congruent to another,…

A: This is a basic geometry question of construction of angles

Q: If two figures are similar, then each angle in one of the figures is congruent to the corresponding…

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Q: Let a, b, and c be the sides of a triangle and let θ be the angle opposite c. Use the Law of Cosines…

A: Given  a, b, and c the sides of a triangle and θ the angle opposite to the side c. To prove the…

Q: 1. If x, x + 3, and y are the lengths of the sides of a triangle, then 2 < y< _?_.

A: The triangle inequality theorem says that the sum of lengths any two sides of triangle is always…

Q: In Case 1-(Center O in AB, one side of the angle), Theorem 42-(An angle inscribed in a circle is…

A: Figure

Q: Prove the Law of Cosines: If a triangle has sides with lengths a, b , and c, and is the angle…

A: Yhh

Q: If two angles in a triangle measure 25° and 25°, then the measure of the third angle is 130°. O True…

A: We know that sum of interior angle in a triangle is 180°

Q: If angle M is congruent to angle Q, then triangle MNP is similar to triangle QRP.

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Q: If A,B and C are interior angles of a triangle ABC , then show that sin(B+C/2) = (cosA/2)

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Q: If A, B, and C are the measures of the angles of a triangle, and a, b, and c are the lengths of the…

A: Given, A, B, and C are the measures of the angles of a triangle, and a, b, and c are the lengths of…

Q: If , AC = 2 and the angle ß = 40°, find any missing angles or sides. Give your answer to at least 3…

A: In the below triangle it is given that AC = 2 and ß = 40°

Q: 6. Find the lengths of the missing sides if side a is opposite angle A , side b is opposite angle B…

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Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

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Q: He put the medical cap on the expired list. If the thirds of the first triangle are: in, 10 in, 8 by…

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Q: If two angles in a triangle measure 25° and 32°, then the measure of the third angle is 123°. True O…

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Q: For a certain triangle ABC angle A = 35 degrees , side a = 12 , and side b= 16. Give the measures…

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Q: Suppose there is a triangle with sides a, b, and c and angles A, B, and C. Using the known given…

A: Given:       a=29 cm       c=24 cm       B=101° Law of Cosines:      b2=a2+c2-2ac·cosB…

Q: If two angles and the included side of one triangle are congruent to two angles and an included side…

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Q: If θ is an angle in standard position and the point P(4,-1) is on the terminal side of θ. Find sec⁡…

A: (4,-1)

Q: Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle.…

A: If a,b,c are sides with longest side =c  then  c2=a2+b2  then triangle is right triangle c2&lt;a2+b2…

Q: The Law of Cosines must be used when only the measures of two sides and the included angle are known

A: Law of cosines

Q: If two angles in a triangle measure 25° and 32°, then the measure of the third angle is 100°, O True…

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Q: A certain triangle exists with side lengths of 6, 9, and 13. Which of these is NOT a reasonable…

A: Solution is given below:

Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

A: Given that, sin(B)=16,  a=7 The objective is to find b and c. The value of sine is the ratio of…

Q: Given a triangle ABC, if A is 11 degrees, B is 49 degrees, and b is 45 cm, what is the length of a…

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Q: If A, B, and C are the measures of the angles of a triangle, and a, b, and c are the lengths of the…

A: Given: A, B, C are the angles tringle. a,b,c is the length of the tringle.

Q: If two angles in a triangle are acute angles, then the third angle is always an acute angle. O True…

A: topic - triangles and angles if two angles of triangle are acute angles, then third angle can be…

Q: A triangle can have sides of length 12, 24, and 36. O True O False

A: Solve the following

Q: The Law of Cosines states that for the triangle ABC with sides a, b, and c, ア-C c2 = a² + ) cos(C).…

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Q: We use the law of cosines to find the missing parts of triangles for which we aregiven two _______…

A: Consider a triangle: Laws of cosine states that: a2=b2+c2-2bc cos Ab2=c2+a2-2ca cos Bc2=a2+b2-2ab…

Q: In △ABC, ∠B is a right angle. If AC = 37 and AB = 12, Find the measure of angle C. Round your answer…

A: Given, △ABC ∠B is a right angle AC = 37 AB = 12

Q: If angle 4 is congruent to angle 7, which of the following is NOT true? a. angle 4 = angle 3 b.…

A: Given: If angle 4 is congruent to angle 7

Q: If an angle in an adjacent triangle is congruent to an angle in another aligned triangle and the two…

A: Topic- congruence of triangles

Q: Given triangle ABC with AB = 2.8 and BC = 4.5 what values of AC make each of the following true?

A: The measure of side AB is 2.8. The measure of side BC is 4.5.

Q: If the given lot is in a form of triangle with C = 28.7 degree, side a = 132 units, and side b = 224…

A: Topic = Triangle

Q: A bridge is supported by triangular braces. If the sides of each brace have lengths 21 m, 15 m, and…

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Q: If in a triangle A = 20\deg , b = 1, and c = 2 , then a =

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Q: ON 12 the triangle on the right, find the measure of 6 earest tenth of a degree. (Triangle is not…

A: In the right angle triangle height 14 mm,hypotenuous is 19 mmWe need to find the value of theta.

Q: If two angles of one triangle are congruent to two angles of another triangle, the triangles are…

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