The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. True O False earch 75°F Mostly sunny

Q: 2 5/6 How can it be proven that a pair of corresponding angles are congruent? Select and drag the…

A: Given : The line r is parallel to t

Q: Which of the following is a consequence of Elliptic geometry? O The sum of the angles of a triangle…

A: In an elliptic geometry . sum of angles of a triangle is always greater then pi. I.e. if a,b,c be…

Q: 19. B C 35 A E Similarity Shortcut:

A: Given :

Q: The following diagram can be used in the proof that the sum of the lengths of any two sides of a…

A: Given diagram, The diagram says-->   In right triangle ABC, a point is taken D on the side BC.…

Q: The triangle inequality theorem states that the sum the lengths of any two sides of a triangle is…

A: Triangle inequality theorem: The triangle inequality theorem states that the l sum of the any two…

Q: The lengths of two sides of a triangle are given. Use the triangle inequality theorem to determine…

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Q: MATH Make a two-column proof to show that the triangles formed by the diagonal of the Futsal court…

A: Draw a rectangle ABCD and join the points A and C. Note: Opposite sides of a rectangle are equal.…

Q: A triangle can have sides of length 7, 9, and 15. O True O False

A: Given,Lengths of sides of the triangle are 7, 9 and 15.

Q: 2. One of the legs of a 45-45-90 triangle is 6, what is the length of the hypotenuse? I

A: 2) The given triangle is 45-45-90, which means it is a right angled isosceles triangle. One of its…

Q: that Gumamela St. is parallel to Santan St. Gumamela St. B/Tea St. Santan St. 659

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Q: 4 4 4 3.7 A- 4 В

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Q: A 45-45-90 triangle whose hypotenuse measures 4 has legs that each measure 2 a. O True O False

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Q: 3 1. Determine whether the triangles are similar. If they are, Write a simılarity statement. Explain…

A: For triangles to be similar the set of their angles must be same.  For triangle BKF,   angle F = 49°…

Q: Let a and b be real numbers. (a) Prove that a| – 16| < la + b| and |b|- lal < la + b|. (b) Use part…

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Q: If two angles in a triangle measure 25° and 32°, then the measure of the third angle is 123°. True O…

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Q: A 45-45-90 triangle whose legs measure 1, has a hypotenuse that measures . O True O False

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Q: Select all of the statements that corectly describe the Pythagorean Theorem and its converse The…

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Q: 2) A triangle has sides 21 and 17. If the remaining side is the longest side, what is the smallest…

A: To find: The smallest integer value it can take that would still keep the triangle acute. Given: The…

Q: A right triangle has a hypotenuse of 24 and an angle 50°. Calculate the length of its shortest side.…

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Q: 4. Which of the three triangles are similar? Write a similarity statement. 15 12 12 8. 20 10 15 N.…

A: 4.) The ratio of the sides of triangle EFG is, 9:6:12 , i.e. 3:2:4 &amp;, The ratio of the sides of…

Q: II. Use your understanding of similarity of triangles to complete the sentences and calculate the…

A: We are asked to fill the sentences.

Q: 15. How many non-congruent triangles ABC can be formed if AB = 5, A = 60, and BC = 8? %3D A. One B.…

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Q: A right triangle is shown below. 10 6. to 8 Which inequality is true? 0° <x < 45° O 45°< x°< 60° O…

A: In right angle triangle ∆ABC The length of the side AB=6 units. The length of the side BC=8 units.…

Q: Rectangle ABCD has diagonals AC and BDThe diagonals intersect at E. In order to prove that the…

A: Given: Rectangle ABCD has diagonals AC and BD. The diagonals intersect at E. To prove: AE is…

Q: The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is…

A:

Q: 3.) According to the Triangle Inequality Theorem for Angles, which angle would be the largest? 26 17…

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Q: 20. Y Similarity Shortcut:

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Q: A certain triangle exists with side lengths of 6, 9, and 13. Which of these is NOT a reasonable…

A: Solution is given below:

Q: If two angles in a triangle are acute angles, then the third angle is always an acute angle. O True…

A: topic - triangles and angles if two angles of triangle are acute angles, then third angle can be…

Q: If two angles of a kite measure 100° and 90°, then the kite could have two right angles. O True O…

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Q: If two angles of a kite measure 110° and 90°, then the kite is guaranteed to only have one 110°…

A: In kite ,  One pair of Opposite angles is equal .

Q: Determine the length of the shortest side of an isosceles triangle if the smallest interior angle is…

A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

Q: 2. Which statement is true about right triangles? A. The opposite side is always the shortest side…

A: Given problem:- 2. Which statement is true about right triangles? A. The opposite side is always the…

Q: A triangle can have sides of length 12, 24, and 36. O True O False

A: Solve the following

Q: The legs of a right triangle are given as a and If + = 16, then the hypotenuse equals: О 16 O 4 O 8…

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Q: Consider a square with each side of length k. (a) Draw a diagonal of the square. What is the measure…

A: a). The angle formed by a side of the square and the diagonal is 45°.

Q: Which of the following is FALSE about polygon? If the exterior angles of a regular exterior angles…

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Q: 24/25 Are the triangles congruent? If they are, state how you know. 1) 2)

A: Solution: The objective is to determine whether the triangles are congruent or not

Q: According to the Triangle Inequality Theorem, which of the following sets can represent the sides of…

A: as per triangle inequality theorem The sum of the lengths of any two sides of a triangle is greater…

Q: 1. The sides of a triangle are a and b, where a > b. Complete the following statement: The length of…

A: This can be solved using triangle inequality theorem.

Q: Carefully state the Pythagorean Theorem, and outline a proof

A: Pythagorean theorem: It states that, in a right angled triangle, the square of the larger side of…

Q: A triangle whose sides are 5, 12, and 13 units long is a right triangle. True O False

A: Use pythagorous theorem to prove it

Q: 6.4 m b) 5.6 m 2.5 m

A: The given triangle has lengths 5.6m , 2.5m , 6.4m

Q: Are the two triangles similar? If yes, then complete the similarity statement. Select all that…

A: We have to find

Q: 15. How many non-congruent triangles ABC can be formed if AB = 5, A = 60, and BC =8? A. One B.…

A: Use the method of congruence of triangle.

Q: If a triangle has a 30° angle and a 60° angle, then the hypotenuse of the triangle is twice the…

A:

Q: 15. How many non-congruent triangles ABC can be formed if AB = 5, A = 60, and BC = 8? %3D A. None B.…

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Q: In which pair of triangles could you use the Angle-Side- Angle condition to prove the triangles are…

A: 1st option is the correct option in which we use the Angle-Side-Angle condition

Q: What else must you know to prove the triangles congruent for the reason shown? 12. ASA 13. АAS 14.…

A: