Consider the following right triangle with sides a, b, and c in which c is the hypotenuse.  If the length of c in the above triangle is 9, determine the lengths of a and b. Can you please explain how to get to the below solution? Answers:  a = 9/2 b = 9*(sqrt(3)/2)

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: On a certain youth league baseball diamond,the bases are 35ft apart.Assuming that homeplate and the…

A:

Q: In the diagram of right triangle ABC,CD intersects hypotenuse AB at D. If AD = 4 and DB = 6, which…

A: Given,   To evaluate AC if CD is perpendicular of AB

Q: A right triangle with area 1 square unit is inscribed in a circle. If the center of the circle lies…

A: Given, The area of the right-angled triangle is 1square unit  Diagram:

Q: In a right triangle the two have legs have measurements of 10 inches and 12 inches. Use the…

A:

Q: b 60° a

A: Solution: The objective is to find the opposite side and adjacent side of the given right angle…

Q: Suppose a right triangle has legs that are 7 and 11. What is the length of the hypotenuse, rounded…

A: Given that a right triangle has legs that are 7 and 11. The other side will be 72+112=170  Decimal:…

Q: This problem refers to triangle ABC. If B = 100°, C = 40°, and b = 12 inches, find c. (Round your…

A: By the ratio of sides and angles, we can use the sine rule, hence,    bc=B0C0

Q: The legs of a right triangle have lengths of 3 and 4. What is the length, to the nearest tenth, of…

A: Given that the two legs of a right triangle is of length 3 and 4.The length of the altitude to the…

Q: A right triangle has legs of lengths 12 and 4. What is the length of the hypotenuse in simplest…

A: We have to solve

Q: Here is a right square pyramid. Round answers in this problem to the nearest tenth if necessary.…

A:

Q: This problem refers to triangle ABC. If A = 70°, B = 30°, and b = 18 cm, find a. (Round your answer…

A:

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: refer to right triangle ABC with C= 90°. In each case, solve for all the missing parts using the…

A:

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: Consider the right triangle shown, in which the two sides have length 1. (a) Using the Pythagorean…

A: Pythagorean Theorem states that, in a right triangle the square of hypotenuse  of the triangle will…

Q: Photo attached

A: Given,

Q: Consider a right angle triangle with side lengths a and a2, where the hypotenuse can be calculated…

A:

Q: A right triangle has legs of lengths 8 and 10. What is the length of the hypotenuse in simplest…

A:

Q: Find the missing side b in right triangle AABC, where a = 13 cm, c= 15 cm, and c is the hypotenuse…

A:

Q: This problem refers to triangle ABC. If A = 70°, B = 60°, and b = 19 cm, find a. (Round your answer…

A:

Q: use the isosceles right triangle in Figure 6.4. Express your answers in simplest radical form. If a…

A: Given △ABC is an isosceles right triangle in which side BC=AC and right angled at C. To find: c…

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

A:

Q: The two longer sides of a triangle are 24 and 25. a. What would be the length of the third side to…

A:

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

A: Given that:    sinB=13x=6

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: 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: 1. For the right triangle pictured with legs that have lengths a and b and with a hypotenuse of…

A: Explanation of the answer is as follows

Q: Given a right triangle with the legs measuring 5 meters and 12 meters, use the Pythagorean theorem…

A: We will find the solution in the following step

Q: The following problem refers to triangle ABC. If A = 60° , B = 30° , and b 14 cm, find C and then…

A: In triangle ABC  A = 60o, B = 30o, b = 14 cm A + B + C = 180 => C = 180 - A - B  => C = 180 -…

Q: On a piece of paper, use your protractor to draw a triangle that has two angles of the same measure.…

A: We will take a piece of paper, By using our protractor to draw a triangle that has two angles of…

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: Do Now: Use the Pythagorean Theorem to find the length of the missing side of the right triangles,…

A: We have Pythagoras theorem, a2+b2=c2 Where a,b and c are sides of the triangle.

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: To find the area of a triangle given all three sides, we can use ________ formula. Thefirst step is…

A: Given: To find the area of a triangle given all three sides, we can use ________ formula. Thefirst…

Q: In an isosceles right triangle, if the hypotenuse has length b√2 , then each leg has length

A:

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

A:

Q: The following problem refers to triangle ABC. If A = 20° , B = 110° , and a 9 cm, find b.

A:

Q: In the right triangle above, what is the length of the hypotenuse?(in image)

A: Given

Q: A 25 m tall flagpole casts a shadow that is 10 m long. At the same time, a nearby office building…

A:

Q: L J K 6 3 M

A: Given Data: The length of side JM is: JM=3 The length of side MK is: MK=6 The length of side JK is,…

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: What additional information would prove the triangles congruent by the hypotenuse-

A: Consider the given figure:

Q: If a right triangle has two legs whic hypotenuse is Use the Pythagorean theorem[ to ca Round answer…

A: Given  If a right triangle has two legs which have measurements of 12 inches and 14 inches  then we…

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

A:

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: Write the Pythagorean theorem for a right triangle with the lengths of the legs given by a and b and…

A: Statement: Let a right angled triangle ABC, where B is right angled and we have to prove:

Q: 15. Determine the length of the hypotenuse of the triangle to the nearest tenth of a metre. [2] 550…

A: Using trigonometric properties we can solve for hypotenuse

Q: A right triangle has a base of x, a hypotenuse of 6, the height is not given and a top angle of 39…

A: