1. A right triangle has legs of lengths 2 and 6. What is the exact length of the hypotenuse? Simplify your answer.

Q: A right triangle has legs of 7 and 3. What is the length of the hypotenuse?

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Q: For triangle ABC, M and N are the midpoints of the indicated sides. If MN = x + 2 and BC = 4x - 12,…

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Q: If line segment AB and line segment CD are drawn to scale, what does intuition tell you about the…

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Q: If the hypotenuse of the triangle below is 14, what is the leg? 45

A: In right angle traingle we have to find leg side

Q: Shown below is the regular 10-sided figure from above along with a related isosceles triangle.…

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Q: Suppose you are given the three lengths shown and are asked to construct a triangle whose sides have…

A: It is given that there are 3 line segments of lengths are, r, s and t.   Lengths can be assumed from…

Q: By using the definitions of equilateral triangle (a triangle with three congruent sides) and of…

A: A equilateral triangle is a triangle whose all three sides are equal. The perimeter of a triangle is…

Q: Given that two sides of a right triangle measure 2 feet and 3 feet, respectively, with a hypotenuse…

A: Given that two sides of a right triangle are 2 feet and 3 feet and hypotenuse is x.  Therefore , by…

Q: 4. The shortest side of a triangle with angles 50°, 60°, and 70° has a length of 11.0. What is the…

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Q: 1. What is the hypotenuse of a triangle whose legs are 10 and 24.

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Q: A right triangle has a 45 degree angle. The hypotenuse is twelve. What is the length of the other…

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Q: In right triangle ABC, mzA = 32°, mzB = 90°, and AC = 6.2 cm. What is the length of BC, to the…

A: Use trigonometric ratio to find value of length BC. sin(theta) = perpendicular/ Hypotenuse

Q: In a right triangle, if the length of the hypotenuse is 5 and the length of one of the other sides…

A: Pythagoras theorem: It states that, In a right angled triangle, the sum of squares of perpendicular…

Q: 2. Find the length of chord HT that is 4 cm from the center of circle A with a radius of 5. Hint:…

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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: 2) A RIEHT TRIANGLE HAS LEGS OF LENGHS I6 AND 30, WHAT IS THE LENGTH OF THE HYPOTENUSE 2

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Q: If 3 and 4 are the legs of a right triangle, the hypotenuse is_______?

A: If 3 and 4 are the legs of a right triangle, the hypotenuse is_______. By using Pythagorean theorem,…

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: What is the length of the hypotenuse of triangle ABC? ¿Cuál es la longitud de la hipotenusa del…

A: Here we have to find the length of the hypotenuse of triangle ABC.

Q: Quadrilaterals JKLM and STUV are similar. If the length of UT = 18, then the length of KL = ___?

A: For similar Quadrilaterals :Congusative sides should be in same proportion so one's side will be…

Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

A: Given that, An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and…

Q: is a right triangle with the measure of X60 and the measure of I If IX 7, find the length of SI.

A: We know, tanθ=HeightBase

Q: 5. If the hypotenuse of a right triangle is 125 units long and the short leg adjacent to the right…

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Q: How long is the altitude to the base of an isosceles triangle if the sides of the triangle are 13,…

A: Given triangle is an isosceles triangle with sides of triangle are 13, 13, 10.

Q: In an isosceles right triangle, if the length of each side is x, then what is the length of the…

A: Given that in an isosceles right triangle, the length of each side is x.

Q: 2. Illustrate that in Euclidean geometry, the sum of the angles of a triangle is 180°.

A: We have proved that in Euclidean geometry, the sum of the angles of a triangle is 180o.

Q: What is the length of the hypotenuse for a right triangle with legs of length 8 and 15? O 16 O 18 O…

A: For a right angled triangle, Using Pythagorean theorem, (Hypotenuse)2 = Sum of squares of other two…

Q: In a 30°-60°-90° triangle with hypotenuse 30 cm long, the lengths of the legs are_____ and_____?

A: A triangle is a polygon which has three sides and three angles. A triangle in which one of the…

Q: Illustrate that the sum of the measures of the angles of a hyperbolic triangle is less than 180°.

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Q: 1) Describe the information you need to have in order to use the Pythagorean Theorem to find the…

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Q: a right triangle has a hypotenuse of length 2.5 and one leg of length 2. the length of the other…

A: Given, a right triangle has a hypotenuse of length 2.5 and one leg of length 2. To find, the length…

Q: 18. Find the length of the hypotenuse of a right triangle with a leg of length 34 inches and a 25°…

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Q: If the two shorter sides of a 45 degree –45 degree –90 degree triangle are both  3/4 , find the…

A: Consider the diagram of the triangle, according to Pythagoras theorem, In a right-angled triangle,…

Q: In a right triangle, suppose the longest side is 8 m, and the shortest side is 2 m, as shown to the…

A: In the right triangle,longest side is 8m and the shortest side is 2mwe have to find the length of…

Q: 5. If the side lengths of a triangle are 8 cm, 9 cm, and 10 cm, is this triangle right, acute, or…

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Q: 5 cm -- -- ----

A: Given: An equilateral triangle side is 5 cm that it's distance from the triangle is 2 cm.

Q: if lenght of segment BC = x, which is the length of segment ST?

A: From graph SR = 11-5 = 6 AB = 3 BC = x

Q: 9. A baseball diamond has four right angles and four equal sides. Each side is 90 feet. 2d base What…

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Q: Consider the three right triangles shown at right. a. What is the length of the hypotenuse marked…

A: Given, Right angles with base 1  Hypotenuse of first right angle become the perpendicular of second…

Q: 12. What type of triangle would be formed if two of the legs are formed by the radius of a circle…

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Q: Consider the following right triangle with sides a, b, and c in which c is the hypotenuse.  If the…

A: Explanation of the solution is given below...

Q: Are the two triangles similar? How do you know?

A: 2 triangles are said to be similar when the respective angles of the triangles are equal and the…

Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

A: Please refer to the image below.

Q: The four sequential sides of a quadrilateral have lengths a=4.9, b=7.1, c=10.4, and d=13.7 (all…

A: The four sequential sides of a quadrilateral have lengths a=4.9, b=7.1, c=10.4, and d=13.7 (all…

Q: 2. If the circumferences of two circles are in the ratio 2:3, then their areas are in the ratio (A)…

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Q: For which triangle is the length of the hypotenuse an INTEGER?

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Q: 3. If the distance of point C from the center of the circle is 17 cm and BC =15 cm, find the…

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Q: Suppose a right triangle has legs that are 4 and 11. What is the length of the hypotenuse, rounded…

A: In a right traingle sum of squares of legs is equal to square of the hypotenuse

Q: We want to build an isosceles triangle with a height of 3 cm and a perimeter of exactly 10 cm. What…

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Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

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