Non-Right Triangle Solutions and Examples

High School
Geometry
Trigonometry
Non-right triangles and trigonometry

Recent questions in Non-right triangles and trigonometry

siotaody 2022-12-03

Find the potential function of the field $F (x, y, z) - (\cos (x) \sin (y) + x^{2} z) i + \cos (y) \sin (x) j + (\frac{x^{3}}{3} + \sin (z)) k$

Tristin Wu 2022-12-03

Classify the following triangle. ABC, AB=BC, angle Abc=120. Check all that apply.
A. Scalene
B. Isosceles
C. Obtuse
D. Acute
O E. Right
F. Equilateral

bazirT4Y 2022-12-02

Find the measures of the angles of the triangle whose vertices are A = (-1, 0), B = (2, 1), and C = (1, -2).

Celia Ray 2022-12-02

Triangle A B C is reflected across side A C and then is dilated to form smaller triangle D C E.
Triangle A B C is reflected, translated to the left, and then is dilated to form triangle D C E.
Triangles A B C and D E C are shown. The angle measures differ between the 2 triangles.
Triangles A B C and D E C are connected at point C. The triangles are shaped differently. Which diagram could be used to prove $△$ ABC $\sim$ $△$ DEC using similarity transformations?

sibNuaxiauoY 2022-11-26

Find the points on the cone $z^{2} = x^{2} + y^{2}$ that are closest tothe point (2, 2,0).

Daniel Paul 2022-09-05

Use an appropriate Half-Angle Formula to find the exact value of the expression.
$\cos (15 °)$

albiguguiismx 2022-09-05

Three circles of radii 3, 5, and 8 centimeters are mutually tangent. Find the area enclosed between the circles.

albiguguiismx 2022-09-04

7. The formula for the area of a triangle is $A = \frac{1}{2} b h$ a. Solve the formula for h.

Beckett Henry 2022-09-04

Use a Sum-to-Product Formula to show the following.
$\sin (130 °) - \sin (110 °) = - \sin (10 °)$
Use a Sum-to-Product Formula for Sine and simplify.

mashingcho9v 2022-09-03

Use the formula for lowering powers to rewrite $\sin^{4} x$ in terms of the first power of cosine.

Spactapsula2l 2022-09-03

Write the sum as a product.
$\sin (4 x) - \sin (9 x)$

profesorluissp 2022-09-02

Write the product of sum.
$5 \cos (2 x) \cos (11 x)$

tamola7f 2022-09-02

Find the value of the sum.
$\cos (255^{\circ}) - \cos (195^{\circ})$

Braeden Valenzuela 2022-08-20

ABC is an inscribed triangle and chord AD bisects angle A and cuts BC at P. Prove: $\frac{A D}{C D} = \frac{A C}{P C}$ .
GIven: Inscribed $△ A B C$ , chord AD bisects $∠ A and c u t s B C$ at P; chord CD
Prove: $\frac{A D}{C D} = \frac{A C}{P C}$ .
Statements
1.(see above)
2. $∠ D = ∠ D$
3.
4. $∠ B C D = ∠ D A B$
5.
6. $△ A C D - △ C P D$
7. $\frac{A D}{C D} = \frac{A C}{P C}$
Reasons
1.Given
2.
3.Defintion of angle bisectors
4.
5.Substitution
6.
7.

hercegvm 2022-08-20

Triangles ABC and XYZ are shown in the coordinate plane below.
Are triangles ABC and XYZ similar? (Justify your answer using one or more transformations.)

Tamara Anthony 2022-08-20

Prove that two isosceles triangles are similar if any angle of one equals the corresponding angle of the other.
a. Case 1: Equal Vertex Angles
Given: Isosceles $∆ A B C$ , isosceles $∆ D E F, A C = B C, D F = E F, ∠ C = ∠ F$
Prove: $△ A B C \sim △ D E F$
Statementc
1.(see above)
2.
3. $△ A B C \sim △ D E F$
Reasons
1.Given
2. Isosceles triangles with equal vertex angles have equal base angles also.(ex. 2.14 #5)
3. ?

roletatx 2022-08-18

1. Which of the following statement is true?
a. Triangles and quadrilaterals are both polygons.
b. Triangles and quadrilaterals are both a closed plane figure
c. All A and B is true
2. Which of the following statements present the relation of triangles and quadrilaterals?
a. if you divide a quadrilateral diagonally, you will have two triangles.
b. if you divide a quadrilateral diagonally, you will have three triangles.
c. If you divide a quadrilateral diagonally, you will have four triangles.

sponsorjewk 2022-08-18

Prove that if a line is drawn parallel to the base of a triangle, it cuts off a triangle similar to the given triangle.

Given: $△ A B C, D E ∣ ∣ A B$
Prove: $△ D E C \sim △ A B C$
PSK $\begin{array}{cc} S t a t e m e n t s & R e a s o n s \\ 1. (s e e a b o v e) & 1. G i v e n \\ 2. & 2. If two parallel lines are cut by a transversal, then the corresponding angles are equal \\ 3. △ D E C \sim △ A B C & 3. \end{array}$

torfuqx 2022-08-18

Look at the triangulation of convex polygons again. Prove following statements:
Any triangulation of a convex n-polygon subdivides it into $n - 2$ triangles.
For example, every triangulation of a convex pentagon has $5 - 2 = 3$ triangles, and every triangulation of a hexagon has $6 - 2 = 4$ triangles

Asher Kaufman 2022-08-17

Triangles ABC and DEF are similar triangles. Solve. Round to the nearest tenth.
Find the height of triangle DEF.
$\underset{―}{} m$

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