Non-Right Triangle Solutions and Examples

High School
Geometry
Trigonometry
Non-right triangles and trigonometry

Recent questions in Non-right triangles and trigonometry

Carolyn Moore 2021-11-25

Solve each of the following triangles. If there are two triangles, solve both. Round angle measurements to one decimal place and side lengths to two decimal places. $a = 10, b = 12, c = 7$
a=?
B=?
y=?

deliredejoker7m 2021-11-23

Evaluate the following complex numbers and leave your results in polar form: (a) $5 ∠ 30^{\circ} (6 - j 8 + \frac{5 ∠ 60^{\circ}}{2 + j})$
(b) $\frac{(10 ∠ 60^{\circ}) (35 ∠ - 50^{\circ})}{(2 + j 6) - (5 + j)}$

tapetivk 2021-11-23

Find the height of the triangle g to the nearest tenth.

gabioskay7 2021-11-22

What do all these triangles have in common?
a)
b)
c)

danrussekme 2021-11-22

Consider the non-right triangle below

Suppose that $m ∠ A C B = 98^{\circ}$ and $m ∠ B A C = 42^{\circ}$ , and that $y = 51.4 c m$ . What is the value of x?

embaseclielenzn 2021-11-22

Consider the non-right triangle below

Suppose that $m ∠ A C B = 103^{\circ}$ and $m ∠ B A C = 44^{\circ}$ , and that $y = 50.5 c m$ . What is the value of x?

meplasemamiuk 2021-11-22

Consider the non-right triangle below.

Suppose that $m ∠ B C A = 70^{\circ}$ , and that $x = 33 c m$ and $y = 47 c m$ What is the degree measure of $∠ A B C ?$

skeexerxo175o 2021-11-21

Determine whether the two triangles are similar.
Explain
1. The two triangles are not similar. Since $m ∠ B \neq m ∠ F$ , the triangles are not similar by the AA criterion.
2. The two triangles are similar. By the Interior angles theorom, $m ∠ C = 67^{\circ}$ , so the triangles are similar by the AA criterion.
3. The two triangles are similar. By the interior angles theorem, $m ∠ c = 57^{\circ}$ , so the triangles are similar by the AA similarity criterion.
3. The two triangles are not similar. By the interior angles theorem, $m ∠ C = 57^{\circ}$ so, the triangles are not similar by the AA similarity criterion.

peromvu 2021-11-21

Consider the non-right triangle below

Suppose that $m ∠ B C A = 69^{\circ}$ , and that $x = 32 c m$ and $y = 49 c m$ . What is the degree measure of $∠ A B C ?$

nuais6lfp 2021-11-21

The diagonals of a trapezoid divide each other proportionally.

Given: Trapezoid ABCD with diagonal AC, BD intersecting at O
Prove: $\frac{A O}{C O} = \frac{B O}{D O}$
$\begin{array}{cc} Statements & Reasons \\ 1. (s e e a b o v e) & 1. Given \\ 2. & 2. \\ 3. (Give 2 pairs of equal angles) & 3. If two parallel lines are cut by a transveral, \\ then the alternate interior angles are=. \\ 4. △ A O B \sim △ C O D & 4. \\ 5. \frac{A O}{C O} = \frac{B O}{D O} & 5. \end{array}$

tapetivk 2021-11-20

Which statement applies to these triangles: -these triangles must be congruent -these triangles might be congruent -these triangles cannot be congruent

ahgan3j 2021-11-20

Consider the non-right triangle below.

Suppose that $m ∠ C A B = 61^{\circ}$ , and that $x = 35 c m$ and $y = 15 c m$ . What is the area of this triangle?

kiki195ms 2021-11-20

The following diagram shows a triangle ABS, where $B C = 5, \hat{B} = 60^{\circ}, \hat{C} = 40^{\circ}$ . Calculate AB to the nearest whole number.

korporasidn 2021-11-19

Ambiguous Case
Given angle $B = 14, c = 14.0$ and $b = 14.1$
How many triangles can be expected.
Note that you have to differentiate between right and non-right triangles
Select one:
a. No triangles
b. 1 right triangle
c. 1 non-right triangle
d. 2 possible triangleSK

achieverh3 2021-11-18

Which statement applies to these triangles:
- these triangles must be congruent
- these triangles might be congruent
-these triangles cannot be congruent.

impresijuzj 2021-11-18

Consider the non-right triangle shown below that has lengths of 1.6, 1.751 and 2.6 cm and interior angle measures of 0.72, $α$ , and $β$ degrees.

a) What is the value of $α$ ?
b) What is the value of $β$ ?

pamangking8 2021-11-18

Find each measurement indicated. Round your answers to the nearest tenth.
Find BC

podnescijy 2021-11-17

Triangles ABC and DEF are right triangles, as shown $△ A B C$ is similar to $△ D E F$

Which ratios are equal to $\cos (B)$ ? Choose the TWO ratios that apply.

xnlghtmarexgo 2021-11-17

In triangle ABC with sides a, b, and c the Law of Sines states that.

hrostentsp6 2021-11-17

Two sides and an angle are given below. Determine whether the given information results in one triangles, or no triangle at all. Solve any resulting triangle(s).
$b = 4, c = 5, B = 30^{\circ}$
Choose the appropriate option below and, if needed, fill in the blanks to complete your selection.
A) A single triangle is produced, where $C \approx ?^{\circ}, A \approx ?^{\circ}$ , and $a \approx ?$
B) Two triangles are produced, where the triangle with the smaller angle C has $C_{1} \approx ?^{\circ}, A_{1} \approx ?^{\circ}$ , and $a_{1} \approx ?$ , and the triangle with the larger angle C has $C_{2} \approx ?^{\circ}, A_{2} \approx ?^{\circ},$ and $a_{2} \approx ?$
C) No triangles are produced.

Before you complain that Trigonometry is not something that you would like to do, it is good to know that non-right triangle equations, among other objects, are constantly used in video games, robotics, and engineering where scientists are looking for answers to their questions and apply various equations to receive the best results for symmetric building and other tasks. Take your time to study equations for non-right triangles based on examples and seek help by learning through our solutions that are addressing the most popular questions and problems where non-right triangles are implemented.

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