With trigonometry by using the cosine rule
To find side lengths on a triangle, you need to know at least one of the sides. The possible combinations for solving* a triangle are: side, side, side; side, angle, side; angle, side, angle; angle, side, longer side. *To solve a triangle is to find the lengths of all the sides and the measures of all the angles.
Yes because the given dimensions complies with the requirements of Pythagoras' theorem for a right angle triangle.
false
Yes, absolutely
The side opposite the angle 19 degrees is given by 15sin 19 = 4.9 units, while the side adjacent the angle 19 degrees is given by 15cos 19 = 14.2 units. So answer = 4.9 units, 14.2 units.
With trigonometry by using the cosine rule
A protractor is used for measuring angles and the 3 angles in a triangle add up to 180 degrees.
true
To find side lengths on a triangle, you need to know at least one of the sides. The possible combinations for solving* a triangle are: side, side, side; side, angle, side; angle, side, angle; angle, side, longer side. *To solve a triangle is to find the lengths of all the sides and the measures of all the angles.
No because the given lengths don't comply with Pythagoras' theorem for a right angle triangle.
No because the given dimensions do not comply with Pythagoras' theorem for a right angle triangle.
No because the given sides do not comply with Pythagoras' theorem for a right angle triangle.
An equilateral triangle would fit the given description
A triangle is unique when the given conditions (such as side lengths or angle measures) lead to only one possible triangle configuration. For example, using the Side-Side-Side (SSS) or Side-Angle-Side (SAS) postulates guarantees a unique triangle. In contrast, conditions like Angle-Angle-Side (AAS) or Angle-Side-Angle (ASA) also yield a unique triangle, while three angles alone may not, as they can correspond to multiple triangle sizes.
It is not possible to determine the measure of an angle if the lengths of two sides are given.
From two given angle measures and the length of their included side, only one triangle can be formed. This is due to the fact that the angle-side-angle (ASA) configuration uniquely determines a triangle. The specific measures of the angles and the included side create a fixed shape, with no ambiguity in the triangle's dimensions or orientation.
Depending on which sides and angle are known you would use one of the trigonometry functions.