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

Q: Another way to prove the Isosceles Triangle Theorem starts by locating the midpoint of AB and…

A: As per guildlines we can solve one question at a time if you still need answers of all ask them…

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: Are the triangles similar? If so, which similarity theorem is used?

A:

Q: Show that the points (a,a),(-a,-a) and (-V3a, v3a) are the За vertice of an equilateral triangle.…

A: Given the co-ordinate of a triangle Let A=(a,a)B=(−a,−a)C=(−3a,3a)

Q: Determine the relationship between the two triangles and whether or not they can be proven to be…

A:

Q: Prove that every equilateral triangle is equiangular, and vice versa.

A: Prove that every equilateral triangle is equiangular, Proof : In△ABC, AB=BC=AC…

Q: Which theorem or postulate proves the two triangles are similar? The picture is not drawn to scale

A: Similar triangles can be found using three theorems:  AA SAS SSS

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: Find the measures of the parts of the right triangle that are not given.

A: Given,            A right triangle BCA is given below :

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: Show that the sum of the angles in a triangle is r.

A: Given that, the statement is "the sum of the angles in a triangle is π. In order to prove the…

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: In hyperbolic geometry, prove that the Omega triangles ABΩ and A′B′Ω′ are congruent if the pair of…

A:

Q: A rectangle ABCD which measures 18 centimeters by 24 centimeters is folded once perpendicular to…

A: SOLUTION: Let ∠DCA=θ; tanθ=18/24=3/4 AC=18^2+24^2=30 Length of crease = AC*tanθ=30*(3/4)=22.5…

Q: If RS = 20, ST = 21, and RT = 29, is ARST a right triangle? Explain. %3D %3D

A: A triangle is right angle triangle if it obeys the Pythagoras theorem which says (Hypotenuse)²…

Q: Which method listed below would not be used to prove that two triangles are congruent?

A: We know that when all three sets of corresponding angles are congruent then triangles can be similar…

Q: Consider the non-right triangle below. B у ст ZCAB A х ст Suppose that m/CAB= 61°, and that x = 35…

A: Given triangle

Q: . If M is the midpoint of the hypotenuse AB of right triangle ABC, andAM = 6, find MB and MC.

A:

Q: Which method can be used to prove that the triangles are congruent?

A: When two lines are intersecting then their opposite angle are equal by vertical opposite angle . Two…

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: Are these triangles similar? If so, which theorem can be used to prove your answer? Yes No

A: given triangle are similar

Q: Show that the two triangles are similar. AWXZ and AZXY 24

A: Use angle angle angle(AAA) to prove similar

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: 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: An isosceles right triangle has one Vangle and equal sides.

A: our objective is to find the statement.

Q: nany triangles can be drawn ar points?

A: In this question, the concept of Combination is applied. Combination A combination is a mathematical…

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: Given: Consider a right triangle with a side of length x opposite angle A, a side of length y…

Q: The three sides of a triangle are 5, x, and 8. Give all possible lengths x so that the triangle is…

A:

Q: An isosceles trapezoid has two congruent legs. O True O False

A: Solution is given below:

Q: Prove the Pythagorean Theorem with Similar Triangles using a two-column proof.

A: To Prove the Pythagorean Theorem with Similar Triangles using a two-column proof

Q: What additional information is needed to prove the triangles congruent? What theorem of postulate…

A: Consider the given triangles △ACB  and  △ECD The vertically opposite angles ∠ACB  and  ∠ECD are…

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: Let a and b be lengths of legs and let c be the length of the hypotenuse of a right triangle. Prove…

A:

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A:

Q: Are the two triangles similar? If so, by what similarity shortcut?

A: The figure is as shown below :

Q: Decide which method, SAS, ASA, AAS, or HL, can be used to prove that the triangles are congruent.

A: Given figure, we have to decide which method can be used to prove that triangles are congruent.

Q: In the triangles PQR and STU, ZRPQ = 2 × ZUST, ZPRQ = 2 × ZSUT and ZRQP = = x LUTS. %3D %3D How…

A: Given that in triangle PQR and STU, ∠RPQ=2×∠UST,              (1)∠PRQ=2×∠SUT,…

Q: 4) The Pythagorean Theorem is only true for what type of triangle?

A: We know that Pythagorean theorem is only used in right angle triangle In a right angle triangle by…

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: A triangle is inscribed in a rectangular hyperbola s to the opposite side. Prove that the trian…

A:

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: 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: 1. Prove that A(-3; 2), B(1; -6) and C(1; 2) are the vertices of a right-angled triangle a. By…

A: As per bartleby answering guidelines, we are supposed to answer only one question at a time. In case…

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: An apothem of a regular polygon is perpendicular to one of its sides. true or false?

A: To find- An apothem of a regular polygon is perpendicular to one of its sides.

Q: Which pair of triangles can be proven congruent using the Hypotenuse-Leg Theorem?

A: our objective is to find the correct choice

Q: Suppose that in right triangle ABC with right angle at C, AC=b, AB=c, BC we drop perpendicular from…

A: Given,