The two legs of an isosceles triangle have length of 1. If the angle between the two legs is 120 degrees, what is the length of the isosceles triangle's base?

Q: The shortest side of a triangle with angles 50°, 60°, and 70° has a length of 11.0. What is the…

A: Let x be the length of longest side. Since longest side is opposite to largest angle and smallest…

Q: Find the perimeter of an isosceles triangle with a base of 8 and a vertex angle of 20 degrees

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Q: If the base of an isosceles triangle has a length of 16 inches and the measure of the vertex angle…

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Q: Can the sides of a triangle have lengths 13, 2, and 2?

A: To check: If a triangle can have length as 2, 2, 13.

Q: One way to show that two triangles are similar is to show that

A: One way to show that two triangles are similar is to show that corresponding angles in triangles are…

Q: What is the measure of angle A if it intercepts two arcs, one with a measure of 87 degrees and the…

A: What is the measure of angle A if it intercepts two arcs, one with a measure of 87 degrees and the…

Q: Can the sides of a triangle have lengths of 9, 12, and 33? If so, what kind of triangle is it?

A: We know that ,  In triangle ,  The sum of the length of any two sides of a triangle must be greater…

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: What are the angles of a triangle having sides of length 6 ft, 4 ft and 5ft?

A: The given sides of the triangles area=6 ftb =4 ftc = 5 ft

Q: side

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Q: Find the smallest angle (in degrees) of a triangle whose sides have lengths of 2√2, 2√3, and √6+√2.

A: We have to find the smallest angle.

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

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Q: Consider a triangle whose shortest sides have lengths 9 and 12. The longest side of the triangle has…

A: As per question given triangle is right angle triangle  Longest side of right angle  triangle is…

Q: A parallelogram had a aide length of 19 and a diagonal length of 11 if the angle between the two is…

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Q: A garden shaped like a rhombus has a perimeter of 100 feet and a 60 degree angle. Find the…

A: Rhombus has 4 equal sides. Perimeter = 100 feet so each side = 100/4 = 25 feet

Q: The distance from two golf balls to the hole is 8 feet and 13 feet, respectively. If both balls are…

A: To find: The distance between the golf balls. Given: The distance from two golf balls to the hole is…

Q: Illustrate that the sum of the angles of an elliptic triangle is more than 180 degrees

A: The basic definition of lune is that, the lune is a wedge of a sphere with an angle θ and is…

Q: The angle between 0° and 360 and is coterminal with a standard position angle measuring 986° angle…

A: To find:- The angle between 0 and 360° and is coterminal with a standard position angle measuring…

Q: Therefore, the coordinate of the point where the eminal side of the 30 angle intersects the unt cide…

A: Find the coordinate of the point where the terminal side of the 45 angle intersects the unit circle.

Q: If the measure of each angle of a triangle is less than 90, the triangle is called____?

A: Given: The length of each angle of a triangle is less than 90° Since, The Sum of all angles of…

Q: A broken flagpole forms a right triangle with the ground. If the angle which the broken part makes…

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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: Consider any triangle and one exterior angle at each vertex. What is the sum of the measures of the…

A: Let ABC be a triangle and let x, y & z be the exterior angles at the vertices A, B and C…

Q: Given that the two triangles shown are congruent, explain one way to verify that the corresponding…

A: Given: The two triangle are shown are congruent  To Explain: The one way to verify that the…

Q: Suppose we know the length of one side and one acute angle of a 30°9 60° right triangle. Is it…

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Q: if an isocoleces triangle has a base angle measuring 40 degrees then what measure is the vertex…

A: Two base angle of isoceles triangle are congruent to each other.

Q: show that the sum  of the measures of the three interior angles of a triangle is 180 degrees

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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: Is it possible to draw a triangle whose angles measure 70°, 70°, and 50°?

A: Not possible Option d is the correct answer.

Q: The distance from two golf balls to the hole is 8 feet and 13 feet, respectively. If both balls are…

A: Graphical representation of the problem: Now, we need to find |BC|.

Q: Is there some kind of triangle such that the perpendicular bisector of eachside is also an angle…

A: In a triangle, The perpendicular bisector of each side is a line that is perpendicular to the side…

Q: Why does atleast one leg of the triangle that the pythagorean triple represents must have an even…

A: We need to explain why atleast one leg of the triangle that the pythagoreantriple represents must…

Q: prove that the sum of the interior angles of a triangle ABC is 180 degrees

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Q: Can the sides of a triangle have lengths 0.2, 0.5, and 0.7?

A: According to the first triangle inequality theorem, the lengths of any two sides of a triangle must…

Q: A parallelogram has sides of lengths 4 and 6, and one angle is 33°. What is the length of the…

A: This question is based on Cosine formula.

Q: Each face of the Great Pyramid at Giza is an isosceles triangle with a 76° vertex angle. What are…

A: In a triangle, the sum of three angles is equal to 180°. Since the triangle is isosceles, the base…

Q: The sides of a parallelogram are 10 and 20 in long and the included angle is 40°. What is the height…

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Q: A triangle has one angle of 120°, what must be true about the other two angles?

A: One of the angles of triangle is 180° .    Sum of angles in triangle is 180°    Thus,  Sum of other…

Q: A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that…

A: Topic:- geometry

Q: Are the two triangles not drawn to scale similar? If so explain why they are.

A: Check similar or not

Q: A rhombus has sides of length 100 centimeters, and the angle at one of the vertices is 70°.…

A: Given the rhombus of side length 100cm and the angle at one of the vertices is 70 degree. We need to…

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: The angle between 0° and 360° and is coterminal with a standard position angle measuring 756° angle…

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Q: What is the sum of the exterior angles of the given polygon?

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Q: Are these triangles similar? If yes, how do you know?

A: We will solve the following.

Q: The face of a clock has the shape of a regular polygon with 12 sides. What is the measure of the…

A: To find: The measure of angle formed by two consecutive side. Given: The regular polygon has 12…

Q: If two angles of an isoceles triangle measures 35 degrees and the base of the triangle is 18-feet,…

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Q: If a loading ramp is placed next to a truck, at a height of 6 feet, and the ramp is 23 feet long,…

A: We need to find the angle ramp makes with the ground.

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

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Q: The angle between 0° and 360° and is coterminal with a standard position angle measuring 1150° angle…

A: To find: The Coterminal angle with a standard position angle measures is 1150° between 0°and 360°.…