The triangle AABC and real number x > 0 are given. Let x² + x + 1, x2 + 2x, and 2x+1 be the lengths of the sides BC, AC, and AB, respecti- vely. Sort in descending order the lengths of the sides of a triangle. Prove ZCAB = 60°. Find the value of x such that the triangle ABC is right.

Q: Find the area of the parallelogram determined by v = (9, 0, 0) and w = (0, 10, 5). (Use symbolic…

A: Given vectors are  v = 9, 0, 0  and  w = 0, 10, 5                         v × w = ijk9000105…

Q: Classify APQR by its sides. Then determine whether it is a right triangle. R (2.3) (2.1) P 0 CLU a b…

A: Given,The vertices  and  of a triangleAim: To determine whether the triangle is a scalene,…

Q: - Find the area of a triangle PQR, where P = (1, - 2, 3), Q = (1, — 4, 1), an R = (1, 6, 0)

A: we need to find out the area of the triangle whose vertices are given.

Q: (2, 5), (9, –7) and (9, 5) Determine whether or not the given points form a right triangle. If the…

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Q: What kind of triangle is formed by the following set of numbers: V71, 13, v299 O Acute Obtuse o…

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Q: Please Solve it with Proof. Rectangles BCC,B2, CAA¡C2, and ABB¡A2 are erected outside an acute…

A: If we draw the image of the above question : As ∠BC1C+∠CA1A+∠AB1B=180°, then we can say that A1B1C1…

Q: find the area of a triangle.  given the points A, B, and C. Plot the points A= (0,2,6), B= (8,2,2),…

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Q: Find the area of the triangle determined by the points P(-3,6, - 4), Q(4,8, - 8), and R(10, - 5, -…

A: we have to find the area between the triangle having three coordinates by using the formula…

Q: Consider the triangle ABC where A(1,3,5), B(-2,1,0), and C(0,1,-1). Find the angle ∠A, ∠B, and ∠C.

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Q: Find the smallest angle (in degrees) of a triangle whose sides have lengths of 2√2, 2√3, and √6+√2.

A: We have to find the smallest angle.

Q: in standard position, and the unit circle. The value of b can be written in t are whole numbers. ues…

A: we will find the required.

Q: Let O = (0,0, 0), Р — (2, –2, 1), Q (2,5, b), where b is a real number. Find two values of b such…

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Q: An airplane makes a trip from city L to city P, which is located 213 km away from city L and on the…

A: From city L to city P, distance is 213 km, the course 148⁰. And From city P to city F, distance is…

Q: Suppose that A OPQ is isosceles with base OP. Suppose also that m LQ=(5x-1)° and m ZP (3x+23)°. Find…

A: Given: The ∆OPQ is isosceles and the angle are m∠Q=5x-1° and m∠P=3x+23° To find the angle m∠O, m∠P,…

Q: Find the area of the triangle with vertices at SCS (3.3,35°,46°) SCS (4.7,61°,246°) SCS…

A: Given Data: Let us consider the given vertices of three points in spherical coordinate system are…

Q: Calculate the area of triangle ABC if the coordinates of the corners of a triangle ABC are: A(-2,2,…

A: NOTE: Refresh your page if you can't see any equations. . find the vector u

Q: State if each triangle is a right triangle. √342 √170 Yes No 13

A: Given :

Q: 4. Find the hypotenuse of a right triangle given the legs 20 cm and 21 cm. O 22 cm O 5.8 cm O 13 cm…

A: Given the lengths of the legs of the right angled triangle,  20cm and 21cm To find the length of the…

Q: Let three vertices of a triangle be ?(4, 0, 1), ?(1, 5, 2), and ?(−4, 1, −3). What is the area of…

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Q: The area of the triangle formed by the vertices (2, −1, −1); (1, 1, −2) and (−3, 2, −2) is:

A: NOTE: Refresh your page if you can't see any equations. . . .

Q: 30. Let A=(-3,2) angled triangle. B = (1,0), and C=(4,6). Prove that AABC is a right- >

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Q: Calculate the area of the triangle determined by the indicated points. P1(1,0,3) , P2(0,0,6) ,…

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Q: Find the area of the triangle determined by the points P(-3,6, - 4), Q(2, – 3,2), and R(5, -3,-5). O…

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Q: In the right triangle, find the length of the side not given. C a=2₁ c = √n b = ₁ b 4

A: Given that in given right triangle we need to find the unknown side.  Here triangle have sides  a ,…