Question

Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of T Q is 16 and the length of R Q is 20. What is the length of Line segment S R? 9 units 12 units 15 units 18 units

Answer #1

(5) The hypotenuse of a right triangle in the Euclidean plane
has length 4 inches. The altitude is drawn to the hypotenuse,
dividing the hypotenuse into two segments, the shorter of which is
1 inch in length. What is the length of the side of the original
right triangle that is adjacent to the smaller segment of the
hypotenuse?

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

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.

1.Let θ (in radians) be an acute angle in a right triangle and
let x and y, respectively, be the lengths of the sides adjacent to
and opposite θ. Suppose also that x and y vary with time. At a
certain instant x=1 units and is increasing at 9 unit/s, while y=7
and is decreasing at 19 units/s. How fast is θ changing at that
instant?
2.An airplane in Australia is flying at a constant altitude of 2
miles and...

9.
Construct a triangle given: side a, altitude a (h_a), and median a
(m_a)
provide the steps used to construct it.
12. Given three (infinite) straight lines. Construct a circle
that touches the first two lines nad has its center on the third
line.
14. Construct a circle, being given one point on it, one
straight line tangent to it, and its radius.

9.
Construct a triangle given: side a, altitude a (h_a), and median a
(m_a)
provide the steps used to construct it.
12. Given three (infinite) straight lines. Construct a circle
that touches the first two lines nad has its center on the third
line.
14. Construct a circle, being given one point on it, one
straight line tangent to it, and its radius.

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)...

Three charged particles are located at the corners of an
equilateral triangle as shown in the figure below (let q =
2.80 µC, and L = 0.790 m). Calculate the total electric
force on the 7.00-µC charge.
magnitude
N
direction
° (counterclockwise from the
+x axis)
Three charged particles lie in the x y
coordinate plane at the vertices of an equilateral triangle with
side length L.
Positive charge q is at the origin.
A charge of 7.00 µC is...

#1 The three charges are at the three vertices of a right
triangle as shown in the figure below.
q 1 = + 3.0 µC q 2 = - 3 .0 µC q 3 = - 2 .0 µC 1 µC = 10-6
Right Triangle: q1 to q2 = 5.0m/ q1 to q3 = 3.0m / q2 to q3 =
4.0m
Formulas: K = 9.0 X 10 9 N m2/ C2 Fx = F cos θ Fy = F sin...

Circle A has a radius of 9 units. Point R lies 5 units away from
A. A chord drawn through R is partitioned by the diameter of A
passing through R into two segments, one of which has a length of 7
units. Is the length of the other segment longer or shorter than 7
units? Justify your answer.

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