Question

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 the length of side b.

Answer #1

Triangle A has sides of lengths 8 cm, 12 cm and 20 cm. Triangle B
is similar to Triangle A and has a perimeter of 10 cm. What is the
length, in cm of the shortest side of Triangle B?

The sum of the lengths of any two sides of a triangle is
greater than the length of the third side. What can you conclude
about AC in triangle ABC when BC=7 and AC=2+AB?

Draw a triangle ABC with the lengths of its sides 6 cm, 8 cm and
9 cm.
(a) Draw the circumcircle of ABC by using the perpendicular
bisectors of the two sides of lengths 6 cm and 8 cm.
(b) Discuss the accuracy of your drawing by drawing the third
perpendicular bisector of ABC.
(c) Use your ruler to estimate the length of the radius of the
circle drawn in (a).
(d) Use your answer in (c) and the extended...

The four sequential sides of a quadrilateral triangle have
lengths a=4.5, b=7.1, c=9.3, and d=11.2 (all measured in yards).
The angle between the two smallest sides is 98 degrees. What is the
area of this figure in square yards?
Thank you.

1. Find the area of the parallelogram that has the given vectors
as adjacent sides. Use a computer algebra system or a graphing
utility to verify your result.
u
=
3, 2, −1
v
=
1, 2, 3
3. Find the area of the triangle with the given vertices.
Hint:
1
2
||u ✕ v||
is the area of the triangle having u and
v as adjacent
sides.
A(4, −5, 6), B(0, 1, 2), C(−1, 2, 0)

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

Find the lengths of the sides of the triangle PQR. (a) P(4, −1,
−3), Q(8, 1, 1), R(2, 3, 1)
|PQ| =
|QR| =
|RP| =
(b)
P(5, 1, −1), Q(7, 3,
0), R(7, −3, 3)
|PQ|
=
|QR|
=
|RP|
=

1.Let θ (in radians) be an acute angle in a right triangle and
let x and y, respectively, be the lengths of the sides adjacent to
and opposite θ. Suppose also that x and y vary with time. At a
certain instant x=1 units and is increasing at 9 unit/s, while y=7
and is decreasing at 19 units/s. How fast is θ changing at that
instant?
2.An airplane in Australia is flying at a constant altitude of 2
miles and...

Write a basic c++ program to check whether a triangle is valid
or not if the three sides are given:
A triangle is valid if the sum of its two sides is greater than the
third side.
Let’s say that a, b, c is the sides of the triangle. A valid
triangle must satisfy all these conditions:
a + b > c
a + c > b
b + c > a
(2 points) Generate random numbers 1-15 inclusive for...

1. Use a calulator to find a decimal approximation for each
value.
sec(-216 degrees 13')=
(round to seven decimal places)
2. A space vechile is orbiting Earth in a circular orbit. What
radian measure corresponds to (a) 2.5 orbits? (b) 5/4 orbits?
(a) the radian measure corresponding to 2.5 orbits is ___. (Type
an axact answer in terms of pi. Type an interger or a simplified
fraction)
b) the radian measure corresponding to 5/4 orbits is ___. (Type
an exact...

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