Use the converse of the Pythagorean Theorem to show that a triangle whose sides are of lengths 11, 60, and 61 is a right triangle.

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: Can a right triangle be constructed whose sides measure (show work): 22) 9m, 12m, 15m 23) 5ft, 12ft,…

A: 22) Yes, that is possible, cf. the converse Pythagorean theorem, which says that any triangle with…

Q: Is it possible to draw a triangle whose angles measure a) 80°, 80°, and 50°? b) 50°, 50°, and 80°?

A: Consider the measures of angles- a) 80°, 80° and 50°. If the sum of the three angles is equal to…

Q: Use the Pythagorean Theorem to find the missing length in the right triangle. 24

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Q: Solve for the missing sides using pythagorean theorem or special right triangle rules. 30 15 a 5/3 a…

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Q: Draw two triangles ABC and A'B'C' on different planes such that the two triangles are perspective…

A: We need to draw two triangles such that the two triangles are perspective from a line and from a…

Q: let A=(2,1) B=(0, sqrt(5)) and C= (0,1) show that the sum of the hyperbolic angles of triangle ABC…

A: Given - let A=(2,1) B=(0, sqrt(5)) and C= (0,1) To show - Show that the sum of the hyperbolic angles…

Q: I noticed that for a right triangle, the Law of Cosines reducesto the Pythagorean Theorem.Determine…

A: To Determine:  a right triangle, the Law of Cosines reduces to the Pythagorean Theorem.Determine…

Q: If a triangle has lengths of 27m and 11m , check all the possible lengths for the third side.

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

Q: Ella calculated the missing side length of one of these triangles using the Pythagorean Theorem.…

A: We know that Pythagoras theorem can be apply only on right angle triangle and according to given…

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: In the diagram, AB = BC = CD = DA B Prove that triangle ADB is congruent to triangle CDB. A D

A: Given : AB = BC = CD = DA

Q: A triangle has side lengths of 5,12,14. Is this a right triangle? Do the math, then state why or why…

A: Given triangle of lengths as 5,12,14 Using Pythagoras theorem, 5^2 + 12^2  = 25 + 144 = 169 = 13^2…

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: Can the sides of a triangle have lengths 19, 18, and 9? yes no

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

Q: A triangle has sides of 4cm, 6cm and 8cm. Is the triangle a right-angled triangle?

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

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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: Solve for the missing sides using pythagorean theorem or special right triangle rules. 15 :: 5/3 :…

A: Given here we have given the right angle triangle  we name it right angled  ∆ABC we have to find…

Q: The coordinates at the vertices A.B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

A: If we can find the height of the triangle then area can find out using 12×base×height

Q: Can the sides of a triangle have lengths 0.5, 0.6, and 1.8? yes no

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

Q: In a right triangle, the longest side opposite the right angle is called the _________and the other…

A: Consider a right triangles.

Q: R 6 P. 15 T. の

A: Please see the explanation below

Q: Show that the triangle with vertices A(2, -3), B(6, -8), and C(-3, -7) is a right triangle by using…

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Q: What is meant by the statement “every triangle can be circumscribed”?

A: The point where perpendicular bisector of all sides of a triangle meet is called circumcenter of the…

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: Use the Pythagorean Theorem to find the missing side of the night triangle below.

A: Let the length of missing side = x apply Pythagoras theorem

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: 2. Show work to determine if the points A(1, –1,4), B(2, 1, –1), and C(4, 0,5) form a right…

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Q: Is it possible to draw a triangle whose angles measure a) 100°, 100°, and 60°? b) 45°, 45°, and 90°?

A: We are given some angles and we are asked whether with there angles ,triangles can be formed or not.

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: The Pythagorean Theorem states that in any______triangle, the sum of the squares of the lengths of…

A: Use the Statement of the Pythagorean theorem which states

Q: Find side b of the oblique triangle given that Z B = 11 and side a = 392 and side c = 228.

A: given∠B=11 ,a=392  and  c=228we know cosine ruleb2=a2+c2-2ac.cosB

Q: Elinor determined that a triangle with side lengths 6, 10, and 8 does not form a right triangle. 62…

A: Right triangle follow the Pythagorean Theorem .  H2 = B2 + P2 Here H is the hypotenuse and B is the…

Q: Show that the points (a, a).(-a,-a) and (-3a, 3a) are the vertice of an equilateral triangle.Also,…

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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: Which rule explains why these triangles are similar? F

A: To prove- given triangles are similar.

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: 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: List the sides of the given triangle from shortest to long 67 62 51 AB BC AC

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Q: Show that a triangle whose sides are of lengths 5, 12, and 13 is a right triangle. Identify the…

A: Given: Show that a triangle whose sides are of lengths 5, 12, and 13 is a right triangle.Identify…

Q: If RS = 40, ST = 41, and RT = 11, is ARST a right triangle? Explain. %3D %3D %3D

A: Check by Pythagorean theorem

Q: Prove that if a point is contained in two angles of a triangle, then it is contained in the interior…

A: In a triangle, any two angles are adjacent (i.e, sharing a common hand)

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: Use the Pythagorean Theorem's converse to prove that a triangle with sides of lengths 11,60, and 61…

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Q: Draw a triangle in which all the sides are different lengths.

A: The triangle in which all sides are of different lengths is known as scalene triangle.

Q: In the diagram, AB = BC = CD = DA В Prove that triangle ADB is congruent to triangle CDB. A C D

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Q: G. 99 121 66 312

A: Given query is find the measure of missing side.