Consider a triangle whose shortest sides have lengths 9 and 12. The longest side of the triangle has a length of c. What must the value of c be if the triangle has a right angle?

Q: For the AAS Theorem to apply, which side of the triangle must be known? A. the included side A. the…

A: For AAS theorem two angles and a non-included side is congruent then both triangles are congruent.

Q: The sides of a triangular lot measure 80m,90m,and 100m. What is the measure of the angle formed…

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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: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,-2). 4.

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Q: The four sequential sides of a quadrilateral have lengths a=5.2, b=6.7, c=8.3, and d=11.7 (all…

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Q: In a right triangle, with legs a and b and hypotenuse c, thePythagorean Theorem states that_________

A: It is given that, In a right triangle with a leg a and b and hypotenuse c.

Q: ) Are the triangles similar? *

A: Given triangle ABC and MNL

Q: he sides of each triangle in order from shortest to longest A. Q В. M 44 61 54 46 C. AABC, with mLA…

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Q: if a triangle has a length of 3  and a height of 2 what is the angle opposite of 2

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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: 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 sides of a triangle have lengths of 7.8, 0.2, and 7.3? If so, what kind of triangle is it?…

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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: Find the measures of the angles of the triangle whose vertices are A = (-1,0), B = (2, 1), and C =…

A: A=(-1,0) B=(2,1) C=(1,-2)

Q: Consider a triangle ABC, on each of whose sides equilateral triangles are dra

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Q: Given a triangle NMQ (not shown), <M is a right angle , then ;

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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: By calculating the lengths of its sides, show that the triangle with vertices at the points A(1, 2),…

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Q: Use the converse of the Pythagorean Theorem to show thata triangle whose sides are of lengths 11,…

A: The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a…

Q: Consider a right triangle with right angle C. If b= 32ft andc- 51ft, find all missing sides and…

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Q: Line B, shown, bisects the corner of rectangle A. If ∠D measures 52°, then ∠C measures

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Q: Find the measures of the angles of the triangle whose vertices are A = (-1, 0), B = (2, 1), and C =…

A: The given three vertices of a triangle are A(-1,0), B(2,1) and C(1,-2). Now, considering the sides…

Q: R 6 P. 15 T. の

A: Please see the explanation below

Q: An environmental club is designing a logo using triangles, as shown at the attached figure down…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=1.2 BC=AC=15 CD=CE=x…

Q: Show that the triangle with vertices A(0, 0), B(1, √2), andC(2, 0) is equilateral.

A: An equilateral triangle is a triangle in which all sides are equal, and consequently, all angles are…

Q: In a right triangle, with legs a and b and hypotenuse c, thePythagorean Theorem states that .

A: In a right triangle, with legs a and b and hypotenusec, the Pythagorean Theorem states  that______

Q: Use the converse of the Pythagorean Theorem to show that a triangle whose sides are of lengths 11,…

A: Given: A triangle whose sides are of lengths 11, 60, and 61.

Q: If a triangle consists of side lengths (5a2 − 6a), (3a2 + 4b2 − 3b), and (5b2 + 4b − 2a), what is…

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Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,–2). 4.

A: Given : A(1,0) B(2,1) C(1,-2)

Q: An equilateral triangle has sides that measure 3x - 2, 2x + 1, and 5x - 8. What is the length of…

A: sides of the equilateral triangle are equal.

Q: Find the length of the bisector of an angle to the shortest side of a triangle with sides 13,20 and…

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Q: Find the measures of the angles of the triangle whose A. vertices are A(1,0), B(2,1), and C(1,-2).

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Q: Suppose you have a right triangle with side lengths 26, 24, and 10. Which lengths represent the legs…

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Q: In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If MZDEB =…

A: We have to find the angle

Q: Consider the non-right triangle below. A у ст ZABC ZBCA В х ст Suppose that m/ BCA = 69°, and that a…

A: Use cosine formula

Q: Which of the triangles below would have the smallest incircle?

A: Circle inscribed in a triangle and touching all the sides are called incircle of that triangle.

Q: In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If MZDEB =…

A: In △ABC, D is a  midpoint of AB¯ and E is a midpoint of BC¯ To evaluate : The value of m∠ACE if…

Q: Determine the type of triangle represented if the lengths of its sides are: a) a = 4, b = 3, and c =…

A: To determine the type of triangle on the basis of lengths of its sides. Let c is longest of a…

Q: Consider the triangle below. What is the perimeter of the triangle?

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Q: Can the sides of a triangle have lengths 5, 11, and 14?

A: Given,           The side lengths of the triangle are 5,11 and 14.

Q: 2. Is a triangle that has sides with lengths of 24 kilometers, 45 kilometers, and 51 km, acute,…

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Q: Find the measures of the angles of the triangle whose vertices are A = (- 3,0), B = (2,1), and C =…

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Q: Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(0,…

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Q: Construct a right triangle that has acute angle A and hypotenuse of length c.

A: Construct a right triangle that has acute angle A and hypotenuse of length c. From the given data…

Q: Does a scalene triangle have line symmetry?

A: A scalene triangle is a triangle in which all three sides are in different lengths, and all three…

Q: The triangle with sides of lengths a = 5, b = 10, and c = 14 is an obtuse triangle. True or false?

A: Given,           To determine the triangle with sides of lengths a = 5, b = 10, and c = 14…

Q: Is it possible to form a triangle with side lengths 3.5, 3.5, and 9? If so, will it be scalene,…

A: The sum of the two sides of a triangle is always greater than the third side.     The triangle…

Q: AABC is an isosceles right triangle with hypotenuse AC of length 2V2. If medians AD and BE intersect…

A: Since ∆ABC is an isoscles right triangle with hypotenuse AC of length 22 if median AD and BE…

Q: Given an acute-angled triangle ABC, construct a square with one side lying on BC while the other two…

A: Image is attached with detailed explanation.

Q: If A ABC is a right triangle, LA = 37° and AB = 24. %3D

A: