A triangle contains angles measurements with a ratio of 3:5:7. Find the angle measurements
Since the sum of the angles of a triangle equal 180°, we have the following relational equation
3x + 5x + 7x = 180
15x = 180
Divide each side of the equation by 15
x = 12
Plugging in x = 12 for each of our angle ratios, we get:
Angle 1 = 3 x 12 = 36°
Angle 2 = 5 x 12 = 60°
Angle 3 = 7 x 12 = 84°
Angle 1 =
36
Angle 2 = 60
Angle 3 = 84
What is the Answer?
Angle 1 = 36
Angle 2 = 60
Angle 3 = 84
How does the Angle Ratio for a Triangle Calculator work?
Given an angle ratio for a triangle of a:b:c, this determines the angle measurements of the triangle.
What formulas are used for Angle Ratio for a Triangle?
Given a triangle with sides A, B, and C, then
Ax + Bx + Cx = 180.
What 3 concepts are covered in the Angle Ratio for a Triangle Calculator?
anglethe figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. ratioindicates how many times one number contains anothertrianglea flat geometric figure that has three sides and three angles
Angle Ratio for a Triangle Calculator Video
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Angles of a triangle
| [1-5] /5 | Disp-Num |
[1] 2021/03/05 18:13 40 years old level / An engineer / Useful /
Purpose of useAngle for miter cut.[2] 2019/10/01 21:30 Under 20 years old / Elementary school/ Junior high-school student / Useful /
Purpose of usehomework help[3] 2019/05/29 12:35 50 years old level / Self-employed people / Useful /
[4] 2019/04/04 14:47 Under 20 years old / Elementary school/ Junior high-school student / A little /
Purpose of useAn angle measures 34° more than the measure of a supplementary angle. What is the measure of each angle?i need answer
[5] 2009/05/29 00:26 Under 20 / A junior high student / A little /
Comment/Request There is a right triangle, and the length of the hypotenuse is 8.5cm. What are the two sides?!Thank you for your questionnaire.
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Use this calculator to solve the unknown angles, sides and area of a triangle by providing three known values.
Triangle Area, Side and Angle Calculator
Triangle Area, Side and Angle Calculator
Use the triangle calculator to solve the unknown angles, sides and area of a triangle by providing 3 known values.
The lengths of the sides must be in the same unit. For instance, you cannot directly solve a triangle where the sides are 8 m, 90 cm and 2 000 mm. In order to solve such a triangle, the lengths of the sides convert must be given in the same unit.
The lengths of the sides must be positive, and the angles must be greater than 0° and less than 180°.
When three sides are known (SSS), an individual solution can be formed. An impossible solution is given, if the longest side is longer than the sum of the other two sides.
When two angles and a side are known (ASA), an individual solution can always be formed when the sum of the angles provided is less than 180°.
When two sides and the angle between them are known (SAS), an individual solution can always be provided.
When two sides and the angle opposite to one side are known (SSA), the result can either be impossible or an individual solution, or two solutions.