Draw, if possible, a a) right scalene triangle. b) triangle having both a right angle and an obtuse angle.

Q: what is the area of a triangle with sides a and b and an included angle.

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Q: Can the sides of a triangle have lengths 3.1, 10.1, and 12.9? yes no Submit

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Q: Can the sides of a triangle have lengths of 15, 15, and 3? If so, what kind of triangle Is it? yes,…

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Q: A land bought by the Dela Cruz brothers were in the form of a triangle with sides 392 m long and 513…

A: area of triangle with two sides and an included angle=  12×side1 ×side2×sinθwhere θ=included angle

Q: Prove that the angles at the base of an isosceles triangle are equal.

A: To prove: The angles at the base of an isosceles triangle are equal. Proof: Let an isoscles triangle…

Q: Construct the Incenter and Incircle for a Triangle

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Q: What is the measure of each interior angle of a regular hexadecagon(16 sided polygon)?

A: We know that the interior angle of a regular n-sided polygon is n-2×180°n. Using this formula we can…

Q: What is the sum of the measures of the exterior angles of a quadrilateral? If necessary, round to…

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Q: Is a triangle with sides of lengths 12, 35, and 37 acute,right, or obtuse?

A: Given: A triangle with the sides of the lengths 12, 35, and 37

Q: Find the measure of an exterior angle of a regular triacontagon (30 sided polygon).*

A: The formula for the measure of an exterior angle of a regular polygon is: Exterior angle=360°n…

Q: Draw one obtuse isosceles triangle. By drawing the appropriate bisectors on the triangle, locate and…

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Q: What is the smallest and the biggest angles of a triangle whose sides are 26 cm, 18 cm and 24 cm…

A: Given the sides of a triangle a=26cm, b=18cm, c=24cm The triangle diagram is as follows         Here…

Q: Are the incenter and circumcenter of an obtuse triangle the same?

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Q: If a triangle has no congruent sides, it is called_____?

A: Given:If a triangle has no congruent sides, it is called______

Q: Which diagram represents a correct construction of an equilateral triangle inscribed in a circle?

A: Given: The objective is to find the diagram represents the correct construction for an equilateral…

Q: A land bought by the Dela Cruz sisters were in the form of a triangle with sides 392 m long and 513…

A: Given, a land bought by the Dela Cruz sisters were in the form of a triangle with sides 392 m long…

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Q: Let AABC be an equilateral triangle with defect . What is the measure of each angle?

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Q: Give the most specific name to this shape based on the evidence given in the diagram Square…

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Q: For a triangle, which two points of concurrence could be located outside the triangle?

A: Which point of concurrence could be locatedoutside the triangle

Q: Find the measure of the numbered angles in each rhombus. 3. 4, 136° m21=

A: Given data: ABCD is a rhombus. Side AB=BC=CD=DA ∠C=136∘

Q: The top surface of a picnic table is in the shape of a regular hexagon. What is the measure of the…

A: It is known that the table is in the shape of a regular hexagon.

Q: What is the measure of an interior angle of a regular polygon with 20 sides? Each angle of a regular…

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Q: What is the cross section perpendicular to the base of a square pyramid passing through the vertex?…

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Q: What is the orthocenter of Triangle ABC?

A: The orthocenter of a triangle is a point where the perpendicular from the vertices to the opposite…

Q: a) What is the general name of the point of concurrence for the three perpendicular bisectors of the…

A: The perpendicular bisector of the side of a triangle is the line perpendicular to the side and…

Q: Can the sides of a triangle have lengths of 6.5, 1.3, and 5.4? If so, what kind of triangle is it?…

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Q: Is it possible for a triangle to be: a) an acute isosceles triangle? b) an obtuse isosceles…

A: Triangles are the two-dimensional figures bounded by three sides. The triangles are classified on…

Q: What is the sum of the measures of the interior angles of a regular polygon?

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Q: Identify the circumcenter of the triangle below.

A: circumcenter of a triangle is the point of all the three perpendicular bisectors of the sides of…

Q: Which type of triangle has sides of lengths a = 8, b = 10, and c = 14?

A: Given triangle has sides of lengths a = 8, b = 10, and c = 14

Q: 2. What is the measure of an exterior angle of a regular octagon?

A: We have given a regular octagon. We have to measure the exterior angle of a regular octagon.

Q: Does a regular pentagon have (a) an incenter? (b) a circumcenter?

A: A regular pentagon has 5 vertices, 5 equal sides and 5 equal angles. A regular pentagon have an…

Q: A diagram is shown. What are the angle measures of the inscribed quadrilateral.

A: Given that in a cyclic quadrilateral ABCD, m∠A=a+16°m∠B=a+30°m∠C=a-18° We have to find m∠A, m∠B,…

Q: Can the sides of a triangle have lengths of 11, 26, and 37? If so, what kind of triangle is it? yes,…

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Q: Write a complete proof to prove that the base angles of an isosceles trapezoid are congruent

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Q: A regular polygon has 24 sides. Work out the size of each exterior angle.

A: Each exterior angle = 360/24 = 15 degrees.

Q: Find the measure of a central angle of a regular polygon with (a) 10 sides,(b) 15 sides, (c) 360…

A: All central angles would add up to 360 degrees (a full circle), so the measure of the central angle…

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: Draw, if possible, a) isosceles obtuse triangle. b) equilateral right triangle. an

A: Given: The triangle is isosceles obtuse triangle and equilateral right triangle. Concept used: The…

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: If a regular polygon has 40 sides, the measure of each interior angle is____?

A: Given that a regular polygon has 40 sides. We know that the sum of all exterior angles of a regular…

Q: Can the sides of a triangle have lengths of 38, 38, and 5? If so, what kind of triangle is It? yes,…

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Q: Suppose that ABCD is a square, and that CDP is an equilateral triangle with P outside the square.…

A: Let We have to draw a house (a square with a triangle on top). Construct in a way that., 1) Point D…

Q: Can the sides of a triangle have lengths of 29, 28, and 8? If so, what kind of triangle is it? yes,…

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Q: What is the ratio of the measure of an interior angle to the measure of anexterior angle in a…

A: We know that interior angle of a regular polygon is given as: n-2πn Exterior angle of a regular…

Q: Can the sides of a triangle have lengths of 7.4, 6.5, and 9? If so, what kind of triangle is it?…

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Q: Draw a concave pentagon that has: a) one interior reflex angle. b) two interior reflex angles.

A: A pentagon that has any interior angle more than 180 degree is called concave pentagon. otherwise it…

Q: show that the base angles of an isosceles triangle are equal

A: Consider an isosceles triangle ABC with AB=AC. Then prove