. Why can we always solve a right triangle if we know the measures of one side and one acute angle? Why can we always solve a right triangle if we know the lengths of two sides?

Q: 4) When solving a triangle in which we are given all three sides, but no angles (like the triangle…

A: The triangle is a closed figure with 3 sides

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Q: In a right triangle with a leg of 5 and a hypotenuse of 10, find the measures of all angles

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Q: A man in a balloon observes two points, A and B, on the horizontal plane. The angle of depression is…

A: The sketch of the given problem is shown below, From triangle DAC,

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

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Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

A: Given that, An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and…

Q: If the measures of the three angles in a triangle are known, can you solve for the lengths of the…

A: If the measures of the three angles in a triangle is known then we can't find the length of the…

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: Consider a right angle triangle with side lengths a and a2, where the hypotenuse can be calculated…

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Q: Russel and Mikko were tasked by sir Gian to take a picture of a certain status from a platform, the…

A: Let the angles, be θ,α as drawn in the figure. From , the figure we have : tan α=8x --(1) and, tan…

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: 5. If the hypotenuse of a right triangle is 125 units long and the short leg adjacent to the right…

A:

Q: Two triangles are____________ if the lengths of two corresponding sides are equal and the angles…

A:

Q: Illustrate and solve the problems. 1. A person at one end of a 230ft bridge spots the river's edge…

A: As per the guidelines we can solve 3 parts only only. Please repost the same for more answers.

Q: What do you do first if you are asked to solve a triangle and are given two sides and the included…

A:

Q: A35-foot tall pole is leading towards a building.To stop the pole from leaning further, a 48-foot…

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Q: Consider a right triangle whose two short sides have lengths of 5 and 12 feet, respectively. Then…

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Q: a right triangle has a hypotenuse of length 2.5 and one leg of length 2. the length of the other…

A: Given, a right triangle has a hypotenuse of length 2.5 and one leg of length 2. To find, the length…

Q: In a 300 -600 -900 triangle, the hypotenuse is always ________ the shortest side, andthe side…

A: In 30-60-90 triangle hypotenuse=2 shorter legLonger leg=3shorter leg

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: If we are given an acute angle and a side in a right triangle, what unknown part of the triangle…

A: If we are given an acute angle and a side in a right triangle, what unknown part of the triangle…

Q: Why is it always possible to find the third angle of any triangle when youare given the first two?

A:

Q: 2. A hot air balloon is kept at a constant altitude by two ropes anchored at two points on the…

A: Given:  A hot air balloon is kept at a constant altitude by two ropes anchored at two points on the…

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A: Given data: The distance between both stations is AB =50 m. The angle made by a swimmer with station…

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 an isosceles right triangle, if the hypotenuse has length b√2 , then each leg has length

A:

Q: 3. The angle of depression from the top of a building to a point on the ground is 32 30'. How far is…

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: Can a right triangle be solved if we are given measures of its two acute angles and no side lengths?…

A: The answer is NO. A right triangle can not be solved if we are given measures of its two acute…

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Q: 4. A security camera is to be mounted on the wall of the downtown Bank of America so as to have a…

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Q: In any triangle, the sum of the three interior angles is always _______.

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Q: 3. The top and bottom of a five-foot high snowplow are to be attached to two steel braces of…

A: Given problem is :

Q: An isosceles triangle is a triangle in which two sides are equal in length. The angle between the…

A: Known fact:If two sides of any triangle is equal, then their opposite angles are also equal.The sum…

Q: Consider the following right triangle with sides a, b, and c in which c is the hypotenuse.  If the…

A: Explanation of the solution is given below...

Q: Two triangles are ___________ if corresponding angles are equal and the lengths of the corresponding…

A: Recall that for similar triangles the measure of corresponding angles in both the triangles be…

Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

A:

Q: If you are given all three sides of a triangle (SSS), how can you tell whether it has a right angle?

A: If square of one side is equal to sum of squares of another two sides then we can say pythagorean…

Q: Why can we always solve a right triangle if we know the measures of one side and one acute angle?

A: Let ABC be the triangle as shown in figure with known acute angle θ and one side BC as measured 'a'.

Q: 2. If we are given an acute angle and a side in a right triangle, what unknown part of the triangle…

A: according to our guidelines we are supposed to answer only the first question if you want any…

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Q: 1. From the top of an 80-meter-high vertical cliff, a boat has an angle of depression of 38°. How…

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