In a right triangle with sides of lengths a, b, and c (where e is the length of the hypotenuse), show that the length of the radius of the inscribed circle is r ab tb+e

Q: If the hypotenuse of a 30-60-90 right triangle measures 14 V3 cm, what is the exact length of the…

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Q: In a triangle whose area is 72 in?, the base has a length of 8 in. Find the length of the…

A: To find: The length of corresponding altitude of the triangle. Given: The area of triangle is 72…

Q: In the Figure, CB is a diameter of a circle with a radius of 2 cm and center O, A ABC is a right…

A: Figure :                             CB is the diameter;                              OB= 2 cm…

Q: In the figure, side IJ of AHIJ is a diameter of circle A with length of 8 units, and AH is a radius…

A: Given Diameter IJ=8 units Then Radius=82=4 Therefore AH=4 units

Q: In Circle O, AOC Is a diameter, ADB is a secant, and BC is a tangent. If the measure of arc DC is 3…

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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: a) 3 сm 4 cm 5 сm

A: The formula for the Pythagoras theorem helps to validate the given statement. The formula for the…

Q: A triangle AABC, right angled at C, is given. A semicircle is inscribed in the triangle as shown on…

A: Topic - circles and tangents

Q: In circle E, AB | CD and BC is a diameter. 2. If mAC = 4x + 5 and mBD = 2(x + 20), what is m/ABC? A…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Given that AB is a diameter of circle O and mAD = 130", what is the measure of ZD 130

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Q: What is the length of AB? AB and BC are tangents to the circle. 7x+5 x+23

A: Circle question

Q: A PQR is circumscribed about Circle C. A triangle is a circumscribed triangle if each of its sides…

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Q: Suppose a certain baseball diamond is a square 70 feet on a side. The pitching rubber is located…

A: Given that, the value of the side is 70 feet and the pitching rubber is located 46.5 feet from home…

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: Given a right triangle with legs measuring 8 feet and 15 feet, use the Pythagorean theorem to solve…

A: We can make it easier for you

Q: what is the area of the entire figure?

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Q: A circle has a diameter of 28 - A trapezoid has bases x and (x+2) and a height of 4.

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Q: The Pythagorean Theorem states that in any equals triangle, the sum of the squares of the lengths of…

A: The Pythagorean Theorem states that in any ________ triangle, the sum of the squares of the lengths…

Q: Given:  D is the center of the circle and the 2 triangles are right-angled at A and C. Prove that…

A: We need to prove that the two triangles are equivalent.

Q: In Circle O, AOC is a diameter, ADB is a secant, and BC is a tangent. If the measure of arc DC is 3…

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

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Q: The area of an equilateral triangle with sides of length s is given by A O True = A = √2. False

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Q: 0, Find a formula for the area of the triangle whose vertices are in R?. V1, and V2

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Q: In Circle O, AOC is a diameter, ADB is a secant, and BC is a tangent. If the measure of arc DC is 3…

A: We will proceed as follows

Q: What is the length of the hypotenuse for a right triangle with legs of length 9 and 40? O 43 O 45 O…

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Q: A triangle has a perimeter of 40 and area of 60. Using A = 1/2rP, find the length of radius r for…

A: Given data: P=40 A=60

Q: Use the Pythagorean Theorem to find the exact length of the unlabeled side in the given right…

A: Given : A right triangle.

Q: In Circle O, is a diameter, is a secant, and is a tangent. If the measure of arc DC is 3 less than…

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

A: In a right triangle, with legs a and b and hypotenusec, the Pythagorean Theorem states  that______

Q: This wall hanging is made of congruent 30-60-90 triangles with a height of 6 cm and a hypotenuse of…

A: Given Data: The height of the triangle is: y=6 cm The hypotenuse of the triangle is: h=12 cm The…

Q: In Circle O, AOC is a diameter, ADB is a secant, and BC is a tangent. If the measure of arc DC is 3…

A: Given: The figure as Here AOC is a diameter,  ADB is a secant and BC is a tangent. And…

Q: Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC=20and DC=5, what is the…

A: Explanation of the answer is as follows

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

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Q: If DE = 10in and GH = 4in what is the length of the radius? Round to the nea

A: Given query is to find the radius.

Q: In Circle O, AOC is a diameter, ADB is a secant, and BC is a tangent. If the measure of arc DC Is 3…

A: We have to find the missing angle

Q: In circle E, AB || CD and BC is a diameter. OE 17. If m AC =4x-5 and mBD= 2(x+20), what is mZABC?…

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Q: For each figure, compute the perimeter to the nearest millimeter and the area to the nearest square…

A: (a) Given triangle is                                   By Pythagoras theorem…

Q: If BC is tangent to circle O and OB is a radius, what kind of triangle is ОВС? X right triangle X…

A: In the circle  BC is tangent of circle O O centre of the circle What is triangle OBC?

Q: In Circle o, AOC is a diameter, ADB is a secant, and BC is a tangent. If the measure of arc DC is 3…

A: We have, In circle O, AOC¯ is a diameter. mAC⏜ = 180°mDC⏜ = 2 mAD⏜-3° To evaluate: The value of m∠B

Q: In Circle O, AOC is a diameter, ADB is a secant, and BC is a tangent. If the measure of arc DC is 3…

A: Here we will find measure of arc DC,

Q: If ZQ = 42°, = 36 cm, and p = 52 cm, what is the length of q, to the nearest centimetre? %3D P. R Q…

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Q: If AB = 8, what is the length of AC? In the figure, circle P has a radius of 10. AB I DE. If DC = 2,…

A: The given circle is : Circle P has a radius r=PD=10

Q: The formula for the circumference C of a circle of radius r is _________ .

A: The formula for the circumference C of a circle of radius r is given by: C=2πr units

Q: In circle E, AB || CD and BC is a diameter. OE 17. If m AC =4x-5 and mBD=2(x+20), what is mZABC? %3D…

A: We know that the arc measure is equal to the corresponding central angle measures in radians  Also…

Q: In Circle O, ACOC is a diameter, ADB is a secant, and BC is a tangent. If the measure of arc DC is 3…

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Q: A circle is inscribed in an isosceles triangle with legs of length 10 in. and a base of length 12…

A: Given, A cicle is inscribed in an isoscles tringle with legs of length 10 inch ans a base of length…

Q: The sides of a triangle are 7 m, 9 m, and 11 m, respectively. Find the radius, in m, of the circle…

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Q: For a regular pentagon, the length of the apothem is 12 in. Find the length of the pentagon's radius…

A: Given: Apothem of a regular pentagon is, a=12 inches. The objective is to find the length of the…

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

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Q: a. Are all circles similar?b. If two circles have radii 9 and 12, what is theratio of the…

A: (a) The shape of the circles are always round and shape of all the circles are same. The size of the…