 # Non right triangles questions and answers

Recent questions in Non-right triangles and trigonometry Daniel Paul 2022-09-05

### Use an appropriate Half-Angle Formula to find the exact value of the expression.$\mathrm{cos}\left(15°\right)$ albiguguiismx 2022-09-05

### Three circles of radii 3, 5, and 8 centimeters are mutually tangent. Find the area enclosed between the circles. Beckett Henry 2022-09-04

### Use a Sum-to-Product Formula to show the following.$\mathrm{sin}\left(130°\right)-\mathrm{sin}\left(110°\right)=-\mathrm{sin}\left(10°\right)$Use a Sum-to-Product Formula for Sine and simplify. albiguguiismx 2022-09-04

### 7. The formula for the area of a triangle is $A=\frac{1}{2}bh$ a. Solve the formula for h. mashingcho9v 2022-09-03

### Use the formula for lowering powers to rewrite ${\mathrm{sin}}^{4}x$ in terms of the first power of cosine. Spactapsula2l 2022-09-03

### Write the sum as a product.$\mathrm{sin}\left(4x\right)-\mathrm{sin}\left(9x\right)$ tamola7f 2022-09-02

### Find the value of the sum.$\mathrm{cos}\left({255}^{\circ }\right)-\mathrm{cos}\left({195}^{\circ }\right)$ profesorluissp 2022-09-02

### Write the product of sum.$5\mathrm{cos}\left(2x\right)\mathrm{cos}\left(11x\right)$ 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.) Braeden Valenzuela 2022-08-20

### ABC is an inscribed triangle and chord AD bisects angle A and cuts BC at P. Prove: $\frac{AD}{CD}=\frac{AC}{PC}$.GIven: Inscribed $\mathrm{△}ABC$, chord AD bisects at P; chord CDProve: $\frac{AD}{CD}=\frac{AC}{PC}$.Statements1.(see above)2. $\mathrm{\angle }D=\mathrm{\angle }D$3.4. $\mathrm{\angle }BCD=\mathrm{\angle }DAB$5.6. $\mathrm{△}ACD-\mathrm{△}CPD$7. $\frac{AD}{CD}=\frac{AC}{PC}$Reasons1.Given2.3.Defintion of angle bisectors4.5.Substitution6.7. 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 AnglesGiven: Isosceles$∆ABC$ , isosceles Prove: $\mathrm{△}ABC\sim \mathrm{△}DEF$Statementc1.(see above)2.3.$\mathrm{△}ABC\sim \mathrm{△}DEF$Reasons1.Given2. Isosceles triangles with equal vertex angles have equal base angles also.(ex. 2.14 #5)3. ? 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: $\mathrm{△}ABC,DE\mid \mid AB$Prove:$\mathrm{△}DEC\sim \mathrm{△}ABC$PSK$\begin{array}{|cc|}\hline Statements& Reasons\\ 1.\left(seeabove\right)& 1.Given\\ 2.& 2.\text{If two parallel lines are cut by a transversal, then the corresponding angles are equal}\\ 3.\mathrm{△}DEC\sim \mathrm{△}ABC& 3.\\ \hline\end{array}$ 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 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 figurec. All A and B is true2. 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. Asher Kaufman 2022-08-17

### Triangles ABC and DEF are similar triangles. Solve. Round to the nearest tenth.Find the height of triangle DEF.  Samson Kaufman 2022-08-08

### A painter needs to cover a triangular region 65 meters by 67meters by 72meters. A can of paint covers 70 square feet. How many cans will be needed? Brandon Monroe 2022-08-06

### The length of a red rectangle is 15cm more than its widthw. A blue rectangle, which is 5cm wider and 2cm shorterthan the red one, has a perimeter of 72cm. Make a sketch of therectangles expressing all dimensions in terms of w. Thenfind the dimensions of each rectagle. logosdepmpe 2022-08-04

### 1.the length of a rectangle is 3 in. more than the width. if the perimeter is 30 in., find the area of a rectangle.2.a square has an area of $16y{d}^{2}$. what is the perimeterof the square?3.The area of a triangle is $112{m}^{2}$. If the length of thebase is 16 m, what is the height?4.What is the maximum area for a rectangle with a perimeter of 40centimeters?5.The length of a rectangle is 2 in. more than the width. If the perimeter is 24 in., find the area of the rectangle. heelallev5 2022-08-04

### Hinge Theorem. Let ABC and DEF be triangles such that AB=DE, AC=DF, and measure angel BAC smaller measure angel EDF. Then BC smaller EF. Mehlqv 2022-08-02

### The side of a square is 4cm longer than the side of an equilateral triangle. The perimeter of the square is 24cm more than the perimeter of the triangle. Find the lengths of a side of the square and a side of the triangle.

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