Last updated on August 5th, 2025
An oblique triangle calculator is a tool designed to perform calculations involving non-right triangles using laws such as the Law of Sines and the Law of Cosines. It is especially helpful for solving problems in trigonometry and geometry, and for completing projects that involve oblique triangles. In this topic, we will discuss the Oblique Triangle Calculator.
The Oblique Triangle Calculator is a tool designed for calculating the unknown sides or angles of an oblique triangle.
An oblique triangle is any triangle that does not have a right angle. These triangles can be either acute or obtuse.
The calculator uses known values and applies trigonometric laws to find unknown measurements, making it a valuable resource for students and professionals working with triangles.
For solving an oblique triangle using the calculator, follow the steps below:
Step 1: Input: Enter the known values of sides or angles.
Step 2: Click: Calculate. The calculator uses the Law of Sines or the Law of Cosines to process the input values.
Step 3: You will see the unknown sides or angles in the output section.
Here are some tips to help you get the correct results using the Oblique Triangle Calculator:
Calculators provide quick solutions, but understanding their features is crucial for solving complex math problems. Below are some common mistakes and solutions to tackle them.
Help Sarah find the unknown angle in a triangle where two angles are 45° and 60°, and the opposite side to the 45° angle is 10 cm.
The unknown angle is 75°, and the length of the side opposite to it can be calculated using the Law of Sines.
Using the formula for the sum of angles in a triangle, we find the third angle: 180° - 45° - 60° = 75°.
To find the side opposite this angle, apply the Law of Sines: a/sin(A) = b/sin(B) = c/sin(C).
Given a = 10 cm, A = 45°, and B = 60°, use the Law of Sines to find c.
A triangle has sides a = 7 cm, b = 9 cm, and angle C = 30°. Find side c.
The length of side c is approximately 4.5 cm.
Using the Law of Cosines: c² = a² + b² - 2ab * cos(C).
Substitute the known values: c² = 7² + 9² - 2 * 7 * 9 * cos(30°).
Calculate to find c ≈ 4.5 cm.
Find the missing angle in a triangle with sides a = 5 cm, b = 8 cm, and angle A = 45°.
The missing angle B is approximately 63.4°.
Using the Law of Sines: a/sin(A) = b/sin(B).
Substitute the known values to solve for B, which gives sin(B) = b * sin(A) / a. Calculate B ≈ 63.4°.
Given a triangle with sides a = 10 cm, b = 12 cm, and c = 14 cm, find angle C.
Angle C is approximately 73.4°.
Using the Law of Cosines: c² = a² + b² - 2ab * cos(C).
Substitute the known values: 14² = 10² + 12² - 2 * 10 * 12 * cos(C).
Solve for C ≈ 73.4°.
In a triangle, side a = 6 cm, side b = 9 cm, and angle C = 60°. Find angle B.
Angle B is approximately 41.8°.
Use the Law of Cosines to find side c first, and then apply the Law of Sines to find angle B.
Solve using: c² = a² + b² - 2ab * cos(C).
Find c, then use sin(B) = b * sin(C) / c to find B ≈ 41.8°.
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