Question

In triangle ABC, side a across from Angle A is 10.6 inches, side c across from angle C is 15.7 inches and angle B=58.7 degrees. Find the missing parts of the triangle

Answer #1

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.

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.

One side of a triangle is 4 inches longer than the side that is
the base of the triangle. The third side is 6 inches longer than
the base. If the perimeter is 37 inches , find the length of each
side.

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.

Find an angle γ in degrees in the triangle for which α = 30
degrees, b = 44 inches, and a = 22 inches. There is(are) exactly
_____ such triangles. In this case γ = _______degrees is a possible
angle.

1. Answer the following.
a. Find the area of a triangle that has sides of lengths 9, 10
and 13 inches.
b. True or False? If a, b, and θ are two sides and an included
angle of a parallelogram, the area of the parallelogram is
absinθ.
c. Find the smallest angle (in radians) of a triangle with sides
of length 3.6,5.5,3.6,5.5, and 4.54.5 cm.
d. Given △ABC with side a=7 cm, side c=7 cm, and angle B=0.5
radians, find...

Find the lengths of the missing sides if a is opposite angle A,
side b is opposite angle B, and side c is the hypotenuse.
a) sin B=1/2, a=20
b) tan A=100, b=100
c) a=5, ∡ A= 60 degrees

Consider the right triangle shown below. If the hypotenuse c =
6.1 cm and angle α = 29°, find the short sides of the triangle and
the angle β (in degrees).
a = cm.
b = cm.
β = deg.
For a similar triangle (but with different parameters), if a =
2.5 cm and b = 3.8 cm, find the hypotenuse c and angle α (in
degrees).
c = cm.
α = deg.

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 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.

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