Triangle Calculator
Calculate the area of a triangle from base and height.
Area
30
Perimeter
27.6619
Hypotenuse
11.6619
Angle Breakdown
Side Comparison
Angle Breakdown
| Property | Value |
|---|---|
| Area | 30.0000 |
| Perimeter | 27.6619 |
| Hypotenuse | 11.6619 |
| Angle A | 30.96° |
| Angle B | 59.04° |
| Angle C | 90° |
Practical Example
Area = (base × height) / 2. For any triangle: A = ½ × b × h. Where b = base length and h = perpendicular height to that base.
Frequently Asked Questions
How do I find the area of a triangle?
Area = (1/2) × base × height — or use Heron's formula if you only know the side lengths.
What is Heron's formula?
Area = √(s(s−a)(s−b)(s−c)), where s = (a+b+c)/2 is the semi-perimeter.
How do I find the angles of a triangle?
Use the law of cosines or law of sines if you know side lengths; angles always sum to 180°.
What if I get a different answer when calculating manually?
First check your order of operations (PEMDAS/BODMAS), then verify your units are consistent. Common errors include rounding too early, sign mistakes, and incorrect formula application. Use this calculator to verify each step of your work.
Are there shortcuts or mental math tricks?
Yes! Many mathematical operations have estimation shortcuts. For example, squaring numbers ending in 5, using the distributive property, or applying benchmark fractions. While shortcuts help with estimates, always use exact calculations for important work.
Disclaimer: This calculator provides estimates for informational purposes only. Actual results may vary. Consult a qualified professional for personalized advice.