Casino Magic

📐 WHAT IS Casino Magic?

Casino Magic is a triangle geometry calculator for students, teachers, and anyone working with trigonometry on Android. Enter three known values, choose a case type, and Casino Magic calculates every remaining side, angle, and triangle area. The interface stays focused on math — no extra screens beyond solving, results, and a built-in guide.

🔺 FIVE TRIANGLE CASE TYPES

Casino Magic covers the standard configurations taught in geometry courses:

• SSS — Three Sides: enter side a, side b, and side c. The app checks the triangle inequality rule, then computes all three angles and the area.

• SAS — Two Sides and Included Angle: enter side a, side b, and angle C (the angle between those sides). The Law of Cosines finds side c and completes the triangle.

• ASA — Two Angles and Included Side: enter angle A, angle C, and side b (the side between those angles). The Law of Sines finds the remaining sides and angle B.

• AAS — Two Angles and Non-Included Side: enter angle A, angle B, and side a. Missing sides and angle C are calculated automatically.

• SSA — Two Sides and Non-Included Angle: enter side a, side b, and angle A. Casino Magic resolves the ambiguous SSA case and returns a valid triangle when the input allows one.

✏️ HOW TO USE Casino Magic

The workflow has three steps:

Tap Solve Triangle on the home screen.
Select a case type from the labeled buttons.
Enter the three required values and tap Solve.
Each case displays only the fields you need. Sides are labeled a, b, c. Angles A, B, C are in degrees, with angle A opposite side a, angle B opposite side b, and angle C opposite side c. If a field is empty or the values cannot form a triangle, Casino Magic shows a clear error message on the results screen.

📊 RESULTS AND TRIANGLE DIAGRAM

After a valid calculation, the results screen shows:

• Side a, side b, and side c (two decimal places) • Angle A, angle B, and angle C in degrees • Triangle area

A scaled triangle diagram appears with side labels on each edge and angle labels at each vertex. Edges use a cyan neon stroke with a soft fill, and a pulse animation draws attention to the shape while you review the numbers.

🎨 INTERFACE

Casino Magic uses a dark neon theme with cyan and magenta accents. Buttons have a minimum height of 44 dp for comfortable touch input. The app runs in portrait orientation across all screens: home, case selection, input, results, and the guide.

📖 HOW IT WORKS GUIDE

Tap How It Works on the home screen to read a short reference. It explains side and angle naming, lists all five case types, and reminds you that angles must be entered in degrees. Helpful when you are unsure whether your homework problem is SAS, ASA, or another type.

⚡ CALCULATION DETAILS

Casino Magic uses standard trigonometry methods:

• Law of Cosines for SSS and SAS problems • Law of Sines for ASA, AAS, and SSA problems • Validation that sides are positive and satisfy triangle inequality • Validation that angles are positive and sum to 180 degrees • Area computed with the formula based on two sides and the included angle

Invalid input never produces silent wrong answers — the app reports whether sides cannot connect, angles exceed limits, or an SSA configuration has no solution.

🔄 AFTER YOUR RESULT

From the results screen you can tap Calculate Again to return to the input form with the same case type already selected, or tap Home to go back and pick a different case. Use Back on any screen to return to the previous step.

👤 WHO IS Casino Magic FOR?

Casino Magic suits high school and college trigonometry practice, classroom demonstrations, and quick checks while studying triangle problems. Enter any three known measurements in a supported case, and Casino Magic returns the full triangle with a visual diagram you can compare against your written work.