I noticed that for a right triangle, the Law of Cosines reducesto the Pythagorean Theorem.Determine whether the statement makes sense or does not make sense, and explain your reasoning.

Q: A ship is 9 miles east and 6 miles south of a harbor. What bearing should be taken to sail directly…

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Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: Given,

Q: If I know the measures of the sides and angles of an oblique triangle, I have three ways of…

A: Since, Area of triangle=12bcsinA=12acsinB=12absinC

Q: Jeriel leans a 26-foot ladder against a wall so that it forms an angle of 61° ground. What's the…

A: Given query is to find the distance between base of the ladder and the wall.

Q: The formula for an obtuse triangle is >² +b³ . O True O False

A: In a triangle, if one of the interior angles is greater than 90° or an obtuse angle. It is known as…

Q: How to find a and b for a triangle when I only know that c is 15? (using the pythagorean theorem)

A: Concept: Pythagoras theorem: It states that the addition of the squares of the perpendicular and…

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation from a ship to the…

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Q: ANALYZE What is the measure of each angle of an equilateral triangle?

A: all Angles of equilateral triangle are same

Q: From the top of a 550-foot cliff, a hiker looks down at a river below. Her angles of depression to…

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Q: The hypotenuse of a right triangle is twice as long as one of the legs. How long is the other leg?…

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Q: Can the longest side of the triangle facing the right angle be considered a base? in other words,…

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Q: Use the fact that the longest side of a triangle is across from the largest angle to explain why the…

A: Here we have to prove that the hypotenuse is always the longest side in the right triangle.

Q: A right triangle has two equal sides. If the hypotenuse is 20 meters, what is the length of the…

A: Given  In a right triangle  Hypotenuse = 20m  Other two sides are equal.

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

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Q: From the top of a 200-ft. lighthouse, the angle of depression to a ship in the ocean is 23° . How…

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Q: the railway is in the shape of an arch, at an angle of 28 . if the radius of the inner edge is…

A: To find- Difference in length of outer and inner edge.

Q: The angle of inclination from the base of the John Hancock Center to the top of the main structure…

A: Given that, The angle of inclination of the Willis Tower is 10.3°. The height of the Willis Tower is…

Q: From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is 15°. How far…

A: Given that, From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is…

Q: On the unit circle, the _______ measure of a central angle and the length of _______it cuts off are…

A: Fill in the blanks "On the unit circle, the _______ measure of a central angle and the length of…

Q: Gabe can see the top of the fountain by looking up at an angle of 39o . If Gabe is 1.3m tall and the…

A: Given that Gabe can see the top of the fountain at an angle of 39 degree. If Gabe is 1.3 m tall and…

Q: Name the postulate or theorem that proves each pair of triangles similar. Explain your reasoning.

A: Given, JK⊥ML

Q: 1) Describe the information you need to have in order to use the Pythagorean Theorem to find the…

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Q: For a triangle PQR, give one example of a set of angle measures and/or side lengths that would allow…

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Q: The side opposite to the Right angle in a right angled triangle is the hypotenuse True or False?

A: True

Q: Show that the measure of an exterior angle of a triangle is equal to the sum of the measures of two…

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Q: How could you use a compass to help construct an isosceles triangle? Describe the procedure briefly…

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Q: in equilateral triangle CME, MB is an altitude and DE is an angle bisector. if BE=27-5x and DM=5x-3,…

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Q: In a triangle, one angle is equal to 60" Find the obtuse angle formed by angle bisectors of the…

A: Considering triangle ABC, Given, Angle A= 60° Let the bisector of angle B and C meet at O.

Q: Are these triangles similar? If so, which theorem can be used to prove your answer? Yes No

A: given triangle are similar

Q: For a particular circle and a sector of the circle, Albert estimates that the area of the sector is…

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Q: What is the measure of the central angle in the hexagon below?

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Q: A right triangle has one angle that measures 30°. What is the measure of the other acute angle?

A: Sum of all angle of a triangle = 180° Suppose triangle ABC,  One angle in right triangle = 90°…

Q: On a piece of paper, use your protractor to draw a triangle that has two angles of the same measure.…

A: We will take a piece of paper, By using our protractor to draw a triangle that has two angles of…

Q: Suppose a right triangle has a leg that measures 5 and a hypotenuse that measures 10. What is the…

A: One Side(B) of right triangle is = 5 Hypotenuse is = 10  Third side (P) =?

Q: Can a triangle have two obtuse angles? Explain your answer.

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Q: The converse of the Pythagorean Theorem is used to find the length of the missing side in a…

A: The converse of Pythagorean theorem tells that if the square of longest side is equal to the sum of…

Q: You are putting together the frame of a fence gate as shown below: If the width of the frame is 3…

A: We know in a right angle triangle the formula of Pythagoras theorem is,…

Q: From the top of a 213-ft lighthouse, the angle of depression to a shop in the ocean is 17°.  How far…

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Q: a right triangle has one angle that measures 37 degrees. what is the measurement of the other angle?

A: Given a right triangle has one angle that measures 37° Since, given triangle is right triangle…

Q: How can we apply the Pythagorean theorem to the reference right triangle?

A: The Pythagorean theorem states that the if the length of the two sides of the triangle are known,…

Q: A piece of land is in the shape of triangle in which two sides are 12 m and 14 m. If the angle…

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Q: The cross-section of a beehive reveals it is made of regular hexagons. What is the measure of each…

A: If a regular polygon has n sides then the sum of interior angles of a polygon is  Sum of interior…

Q: A radio transmission tower is 180 feet high. How long should a guy wire be if it is to be attached…

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Q: What is the sum of the angle measures in this shape?

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Q: What is the measure of one exterior angle of a regular hexagon?

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Q: What is the formula to find the length of a triangle?

A: If the lengths of the sides are a,b,c then the length is represented by the perimeter  of triangle…

Q: A large weather balloon is tethered by two ropes. The shorter rope is measures 20 feet and attaches…

A: The shorter rope is measures 20 feet and attaches to the balloon at an angle of 32 degrees from the…

Q: A plane is 34 miles north and 80 miles east of an airport. What bearing should the pilot take to fly…

A: Given query is to find the bearing.

Q: The cables attached to a TV relay tower are 100 m long. They meet level ground at an angle of 60.0°,…

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