Question

Find the lengths of the sides of the triangle PQR. (a) P(4, −1, −3), Q(8, 1,...

Find the lengths of the sides of the triangle PQR. (a) P(4, −1, −3), Q(8, 1, 1), R(2, 3, 1)

|PQ| =

|QR| =

|RP| =


(b)    

P(5, 1, −1),    Q(7, 3, 0),    R(7, −3, 3)

|PQ| =
|QR| =
|RP| =

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the area of the triangle PQR when P = (-1, 3, 1), Q = (0,...
Find the area of the triangle PQR when P = (-1, 3, 1), Q = (0, 5, 2), R = (4, 3, -1).
1) A triangle has vertices P(–1, –5), Q(4, –11), and R(10, –6). Determine what type of...
1) A triangle has vertices P(–1, –5), Q(4, –11), and R(10, –6). Determine what type of triangle ▵PQR is. 2)A quadrilateral has vertices A(7, –2), B(9, 1), C(12, –1), and D(10, –4). Show that the diagonals of quadrilateral ABCD are perpendicular to each other.
1. Answer the following. a. Find the area of a triangle that has sides of lengths...
1. Answer the following. a. Find the area of a triangle that has sides of lengths 9, 10 and 13 inches. b. True or False? If a, b, and θ are two sides and an included angle of a parallelogram, the area of the parallelogram is absin⁡θ. c. Find the smallest angle (in radians) of a triangle with sides of length 3.6,5.5,3.6,5.5, and 4.54.5 cm. d. Given △ABC with side a=7 cm, side c=7 cm, and angle B=0.5 radians, find...
Find, correct to the nearest degree, the three angles of the triangle with the given vertices....
Find, correct to the nearest degree, the three angles of the triangle with the given vertices. P(2, 0),      Q(0, 1),      R(4, 3) ∠RPQ = ∠PQR = ∠QRP =
1. Prove that the difference of the lengths of two sides of a triangle is less...
1. Prove that the difference of the lengths of two sides of a triangle is less than the third side. 2. Prove that in a triangle one side’s median is less than half the sum of the other two sides. 3. Prove that the sum of the lengths of a quadrilateral’s diagonals is less than its perimeter.
1) Let a = 〈4,−5,−2〉 and b = 〈2,−4,−5〉 Find the projection of b onto a....
1) Let a = 〈4,−5,−2〉 and b = 〈2,−4,−5〉 Find the projection of b onto a. proj a b= 2) Find the area of a triangle PQR, where P=(−2,−4,0), Q=(1,2,−1), and R=(−3,−6,5) 3) Complete the parametric equations of the line through the points (7,6,-1) and (-4,4,8) x(t)=7−11 y(t)= z(t)=
Triangle A has sides of lengths 8 cm, 12 cm and 20 cm. Triangle B is...
Triangle A has sides of lengths 8 cm, 12 cm and 20 cm. Triangle B is similar to Triangle A and has a perimeter of 10 cm. What is the length, in cm of the shortest side of Triangle B?
Find the volume of the parallelepiped with adjacent edges PQ, PR, PS. P(3, 0, 3),    Q(−1, 2,...
Find the volume of the parallelepiped with adjacent edges PQ, PR, PS. P(3, 0, 3),    Q(−1, 2, 8),    R(6, 1, 1),    S(2, 6, 6)
Let p = (8, 10, 3, 11, 4, 0, 5, 1, 6, 2, 7, 9) and...
Let p = (8, 10, 3, 11, 4, 0, 5, 1, 6, 2, 7, 9) and let q = (2, 4, 9, 5, 10, 6, 11, 7, 0, 8, 1, 3) be tone rows. Verify that p = Tk(R(I(q))) for some k, and find this value of k.
1. Given the point P(5, 4, −2) and the point Q(−1, 2, 7) and R(0, 3,...
1. Given the point P(5, 4, −2) and the point Q(−1, 2, 7) and R(0, 3, 0) answer the following questions • What is the distance between P and Q? • Determine the vectors P Q~ and P R~ ? • Find the dot product between P Q~ and P R~ . • What is the angle between P Q~ and P R~ ? • What is the projP R~ (P R~ )? • What is P Q~