Question

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

Answer #1

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.

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.

Prove that given △ABC and △A′B′C′, if we have AB ≡ A′B′ and
BC≡B′C′,then B<B′ if and only if AC<A′C′. You cannot use
measures.

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

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.

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)

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

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

String splitting problem in C
A string like
GGB[BD]GB[DC,BD]WGB[BD]B[DC]B[BD]WB[CK,JC,DC,CA,BC]B[FB,EB,BD,BC,AB]
How do I split it to get only whats inside the bracket with
C?
so i would get BD, DC, BD, BD,DC,BD, CK, JC, DC, CA, BC, FB, EB,
BD, BC, AB
and then get rid of duplicate
and get BD, DC, CK, JC, CA, BC, FB, EB, AB

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

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