In the right triangle ABC, C is a right angle and the measure of angle B is 60°. If BC is 20 inches long, then how long is AC?

Q: In AABC, 2C is a right angle, AC = 5.2, and AB = 21.3. Draw the triangle and solve for the measure…

A: Given AB=21.3 AC=5.2 C is right a right angle

Q: In the right triangle, find b to the nearest whole number is c = 15 and the angle adjacent to b is…

A: It is given that the side c of the right angled triangle is 15 and (θ) is 37o . Here, the given…

Q: Given triangle △ ABC, we have that B=110∘, C=40∘ and b=18 inches. Find c, round to the nearest…

A: Given that in triangle △ ABC, we have that B=110∘, C=40∘ and b=18 inches

Q: If triangle ABC has sides a = 90, b = 70, and c = 40, solve for the interior angles.

A: a=90, b=70 & c=40 The diagrammatic representation is,

Q: right triangle ABC, a = 2.73 cm and b = 3.41 cm. Find the remaining sides and angles. Round each…

A: Given query is to solve the right angle triangle.

Q: The two sides of a triangle are of lengths 300m and 150m, and the angle opposite the 150m-side is 26…

A: Solve by cosine rule

Q: Can side d be the base for this triangle? if so, which length would be the corresponding height? if…

A: We are asked to find the height of the given triangle.

Q: Given a triangle with angle A = 93° and sides a = 2 %3D the length of side c is Round answer to 3…

A: Given query is to find the length of side c.

Q: The figure shows triangle ABC inscribed in circle D. If the measure of angle CBD = 44°, what is the…

A: Given ∠CBD=44°

Q: A triangle has an opposite side of 5, a hypotenuse side of 13, and an angle of Ɵ. What is the…

A:

Q: In AABC, zA is a right angle and mzB = 45°. Find BC. C 11 ft A

A: The figure of a right triangle with m∠B = 45° is given by To evaluate : The value of BC

Q: Use the given information below to find the lengths of the missing sides of a triangle. Side a is…

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Q: Given the angle below, if the length of AB is 4 units, find the length of BC. 30 O 12 8 V3 O 8

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Q: Given the triangle ABC, if side a is 40 cm, side b is 25 cm, and side c is 18 cm, find angle C.…

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Q: The length of the sides of a triangle are AB = 20cm, BC = 24cm, and AC = 17cm. What is the angle…

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Q: In triangle ABC, if a=8, b=13, and c=65 degrees, find the other side and other two angles

A: Topic = Triangle

Q: In the right triangle ACD with right angle C, AB + AD= BC + DC. If BC = 10 and DC = 14, find the…

A: Given,            In the right triangle ACD with right angle C, AB+AD=BC+DC            BC=10 and…

Q: In the right triangle ABC, Cis a right angle and the measure of angle B is 60°. If BC is 20 inches…

A:

Q: Consider a right triangle with side a opposite angle A, side b opposite angle B, and side c, the…

A: use trignometric ratio

Q: If a triangle has two angles that measure 45 to 90 degrees, what is the measure of the third angle?

A: Given problem is : If a triangle has two angles that measure 45 to 90 degrees, what is the measure…

Q: The hypotenuse of triangle ABC has a length of 5. For angle A, the opposite side BC has a length of…

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Q: In right triangle ABC, hypotenuse AB has a length of 26 cm, and side BC has a length of 17.6 cm.…

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Q: Given a triangle with angle A = 96° and sides a = 29 and b = 19, %D %3D the length of side c is C…

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Q: Given right angle ABC, where side C is the hypotenuse, angle A measure 38 degree side and side B…

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Q: Find the length of side aa if the length of side b=12 units, the length of side c=9 units, and the…

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Q: If triangle ABC has side a=90, b=70, and c=40, solve for interior angles.

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Q: Given the lengths of the three sides of a triangle (SSS), why is the law of cosines used to find the…

A: The cosine rule of triangle are: cosA=b2+c2-a22bccosB=a2+c2-b22accosC=a2+b2-c22ab If the length of…

Q: If angle B measures 45 degrees and side A is 10 meters, What is the height of side B?

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Q: A В

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Q: O A triangle has side lengths 4 ft, 12 ft, and 13 ft. Is the triangle acute, obtuse, or right?

A: Here, To determine whether the triangle is acute, right, or obtuse. We just have to add the squares…

Q: The figure shows triangle ABC inscribed in circle D. B. C A If the measure of angle CBD =44°, what…

A: Use the fact the angle A is half of the angle D

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

A: Solution : We have given that the length side of a = 10, side c is Hypotenuse and cosB = 4/5

Q: In right triangle ABC with right angle C, the length of AB is 31 and the length of BC is 14. Find…

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Q: A ship sails 110 miles from Island A toward Island B, but then turns through an angle of 120 and…

A: let a,b and c are side opposite to angle A ,B and C respectively.

Q: For angle B, the opposite side AC has a length of 4 and the adjacent side BC has the length of 3.…

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Q: To the nearest degree, find the measure of angle A. 20 in 18 in

A: Given a right angle triangle with sides 18 in and 20 in.

Q: In the triangle below, find the value of side a to the nearest whole number if the length of side c…

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Q: In right triangle ABC is shown below, AB = 12, BC = 16, and AC = 20.

A: In a given right triangle ABC, AB=12, BC=16 anf AC=20Since, we know that cos θ=BaseHypotenusesin…

Q: In AABC, zC is a right angle, AC = 3, and AB = 16. Draw the triangle and solve for the measure of…

A: Given:        In ∆ABC, ∠C=90°          AC=3 and AB=16

Q: For the triangle ABC, side a = 2 + m, side b = 9 and side c = 7. Find Angle A. m=1

A: side a=2+1=3  side b = 9 side c=7 use the sine rule of triangle a2=b2+c2-2bc cos A where a, b and c…

Q: In right triangle ABC, point O is the incenter, CD= 9" AC = 36", AB = 45 Find OD. 36 8.

A: Apply Pythagorean theorem, to find CB. CB=AB2-AC2=452-362=2025-1296=729=27 Therefore, CB=27''.

Q: The isosceles triangle below had one angle measure as shown. What is the measure of each of the…

A: The isosceles triangle is given.

Q: In the preceding isosceles triangle, angle P is congruent to angle Q. If angle P has a measure of 53…

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Q: In the right triangle below, find a to the nearest whole number if c = 15 and angle 0 is 37 degrees.

A: We use Trigonometry ratios

Q: If angle C measures 57° and AC has length 5, find: • Angle B (in degrees): • The length of AB: • The…

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Q: The lengths of a triangle are 9 ft, 20 ft, and 14 ft. Tell whether this triangle is acute, obtuse,…

A: Topic = Triangles

Q: This problem refers to triangle ABC. If a = 18 yd, b = 19 yd, and c = 20 yd, find the larg

A: The largest side is c=20 yd So the largest angle will be opposite to c, that is C

Q: In a triangular-shaped lot ABC, the two sides and the included angle are CA=90.95 m, BC=73.80 m, and…

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.