Question

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.

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.

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.

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

The triangle ABC,
which is not drawn to scale, represents a roof space with a span of
12 m. The roof slopes at an angle X on one side and an angle Y on
the other, producing an angle Z at the apex.
If X = 49o
and Y = 33o, calculate the lengths of the sides of the
roof, AC and BC. Give your answers in m, to 2 decimal places.
AC length:
BC length:

A water trough is 9 feet long, and its cross section is an
equilateral triangle with sides 4 feet long. Water is pumped into
the trough at a rate of 2 cubic feet per second. How fast is the
water level rising when the depth of the water is 1/2 foot?
( Hint: First, what is the height h of an equilateral
triangle of side length s? Next, what is the area of an equilateral
triangle in terms of the...

Suppose in triangle ABC ma and mb are the
lengthsof the medians from A and B respectively. Prove that if a≥b
then ma≤mb (recall the convention that in
triangle ABC, a=BC and b=AC

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.

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...

SOLVE IN MATLAB
Given a right triangle ABC, calculate the angle of Theta
(degrees) located between AC and AB given values a and b.
Note:
https://en.wikipedia.org/wiki/Right_triangle#/media/File:Rtriangle.svg
Filename: Right_Triangle_01.m
Input: a, b
Output: Theta (degrees)

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