Question

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.

Answer #1

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.

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

In an isosceles triangle ABC ,AB=BC,angle B=20 . M and N are on
AB and BC respectively such that angle MCA =60, angle NAC =50.find
angle MNC

a) In the triangle ABC, angle A is 60 ° and angle B 90 °. The
side AC is 100 cm. How long is the side BC? Determine an exact
value.
b) An equilateral triangle has the height of 11.25 cm. Calculate
its area.

In the triangle ABC is the angle A=52,7 degrees, the angle C is
obtuse, the side AB=12,4 cm and the side BC=10,7 cm. Determine the
triangels area.

Let J be a point in the interior of triangle ABC. Let D, E, F be
the feet of the perpendiculars from J to BC, CA, and AB,
respectively. If each of the three quadrilaterals AEJF, BFJD, CDJE
has an inscribed circle tangent to all four sides, then J is the
incenter of ∆ABC. It is sufficient to show that J lies on one of
the angle bisectors.

In triangle ABC , let the bisectors of angle b meet AC at D and
let the bisect of angle C meet at AB at E. Show that if BD is
congruent to CE then angle B is congruent to angle C.

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...

Three parallel lines are such that one passes through each
vertex of a triangle ABC, and they are not parallel to any of the
triangles sides. The line through A meets BC (extended if
necessary) in X, the lines through B and C meet CA and AB in Y and
Z respectively. Prove that area(XYZ) = 2xArea(ABC)

1/ Consider the triangle with height 10 and base 5.(lets say AEC
triangle that 90 degree at E. AE=10,EC=15)
a/ Find its centroid using calculus (it can be done without
calculus, after all, by the aid of a simple theorem)
b/ if the triangle is submerged 3ft beneath the surface of
water, give the hydrostatic force against the triangle.

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