Triangle ABC is a right angle triangle in which
∠B = 90 degree, AB = 5...
Triangle ABC is a right angle triangle in which
∠B = 90 degree, AB = 5 units , BC = 12 units. CD
and AE are the angle bisectors of ∠C and ∠A
respectively which intersects each other at point I. Find the area
of the triangle DIE.
Triangle has vertices, A(6,9), B(4,6) and C(-2,10). Which of the
following is true?
One of these...
Triangle has vertices, A(6,9), B(4,6) and C(-2,10). Which of the
following is true?
One of these 4
ABC is isosceles
ABC is right-angled
ABC is obtuse
ABC is equilateral
ABC is a right-angled triangle with right angle at A, and AB
> AC. Let D...
ABC is a right-angled triangle with right angle at A, and AB
> AC. Let D be the midpoint of the side BC, and let L be the
bisector of the right angle at A. Draw a perpendicular line to BC
at D, which meets the line L at point E. Prove that
(a) AD=DE; and
(b) ∠DAE=1/2(∠C−∠B)
Hint: Draw a line from A perpendicular to BC, which meets BC in
the point F
Question 1: Roll two fair dice. Then the sample space S is the
following.
S =...
Question 1: Roll two fair dice. Then the sample space S is the
following.
S =
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
Let E be the event that the sum of the dice is odd, let F be the
event that the first die lands on 1,
and let G...
In a right angle traingle ABC, angle ABC is 90 Degree, AB = 2 m,
and...
In a right angle traingle ABC, angle ABC is 90 Degree, AB = 2 m,
and angle ACB is 41.81 Degree. A point charge of 5*26 nC is placed
at point C, point charge 4* 26 nC is placed at point A and point
charge 1 C is placed in point B. Calculate the force on charge at B
due to others two.
Solve triangle ABC. (If an answer does not exist, enter
DNE. Round your answers to one...
Solve triangle ABC. (If an answer does not exist, enter
DNE. Round your answers to one decimal place. Below, enter your
answers so that
∠A1
is smaller than
∠A2.)
b = 129, c =
168, ∠B = 40°
∠A1 =
°
∠A2 =
°
∠C1 =
°
∠C2 =
°
a1 =
a2 =
Three point charges are placed at the corners of a right-angle
triangle, as shown in the...
Three point charges are placed at the corners of a right-angle
triangle, as shown in the figure. The masses, charges and
coordinates of the three objects are given as follows:
Mass (g):
Charge (μC):
Coordinate (mm):
?1 = 2.30
?1 = −1.25
?1 = (0; 6.00)
?2 = 0.15
?2 = +0.55
?2 = (0; 0)
?3 = 1.50
?3 = −2.05
?3 = (4.00; 0)
(a) Determine the coordinate of the centre of mass of the
system. (5) (b)...
5. Suppose that the incenter I of ABC is on the triangle’s Euler
line. Show that...
5. Suppose that the incenter I of ABC is on the triangle’s Euler
line. Show that the triangle is isosceles.
6. Suppose that three circles of equal radius pass through a
common point P, and denote by A, B, and C the three other points
where some two of these circles cross. Show that the unique circle
passing through A, B, and C has the same radius as the original
three circles.
7. Suppose A, B, and C are distinct...
∠ABC is a right angle. AB = 8 inches,
BC = 13 inches, and AD =...
∠ABC is a right angle. AB = 8 inches,
BC = 13 inches, and AD = 3 feet. Determine the
surface area (in square inches) and volume (in cubic inches) of the
following. (Round your answers to one decimal place.)
A triangular prism is given. The prism is oriented so that the
top and bottom faces are triangles. Four vertices of the prism are
labeled as follows:
The bottom left vertex of the top triangular face is labeled
A.
The...