Question

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

Answer #1

If ?ABC is an isosceles triangle where AB¯?AC¯, m?A=(2x?20)°,
and m?B=(3x+5)°, then m?C=__________°.

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.

Let 4ABC be an isosceles triangle, where the congruent
sides are
AB and AC. Let M and N denote points on AB and AC
respectively
such that AM ∼= AN. Let H denote the intersection point of MC
with
NB. Prove that the triangle 4MNH is isosceles

In triangle ABC, angle A measures 33 degrees. If angle C
measures 38 degrees and BC has length 12, find AB.
a) 12sin38/sin33
b)12sin(38/33)
c)6
d)12sin33/sin38
e)6sqrt3

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.

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

If in triangle ABC and Triangle XYZ we have AB = XY, AC = XZ,
but m<A > m<X, then BC > YZ. Conversely, if BC > YZ
then m<A > m<X.

Suppose that the incircle of triangle ABC touches AB at Z, BC at
X, and AC at Y . Show that AX, BY , and CZ are concurrent.

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.

We have a triangle ABC. a=|BC|, b=|CA|, c=|AB| and ∠A=v , ∠B=r ,
and ∠C=z
Calculate c, if we know that ∠C is acute and a=8, b=3 and sin (z) =
1/7

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