Area of 90 Degree Triangle

Right Triangle Area Formula:

\[ Area = \frac{1}{2} \times a \times b \]

Area (square meters):

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1. What is a 90 Degree Triangle Area Calculator?

Definition: This calculator computes the area of a right-angled triangle based on the lengths of its two perpendicular sides.

Purpose: It helps students, engineers, and construction professionals quickly determine the area of right triangles in various applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Area = \frac{1}{2} \times a \times b \]

Where:

\( a \) — Length of first perpendicular side (meters)
\( b \) — Length of second perpendicular side (meters)
\( Area \) — Resulting area (square meters)

Explanation: The area of a right triangle is half the product of the lengths of its two perpendicular sides.

3. Importance of Right Triangle Area Calculation

Details: Right triangle area calculations are fundamental in geometry, construction (roofing, framing), and land surveying.

4. Using the Calculator

Tips: Enter the lengths of both perpendicular sides in meters. Both values must be greater than 0.

5. Frequently Asked Questions (FAQ)

Q1: What makes a triangle a "90 degree" triangle?
A: A 90 degree (right-angled) triangle has one angle exactly 90° formed by two perpendicular sides.

Q2: Can I use this for non-right triangles?
A: No, this formula only works for right triangles. For other triangles, use Heron's formula or (1/2)base×height.

Q3: What units should I use?
A: The calculator uses meters, but any consistent unit can be used (cm, ft, etc.) - just interpret the result in squared units.

Q4: How accurate are the results?
A: Results are mathematically precise based on your inputs. The calculator displays 3 decimal places for precision.

Q5: What if I only know the hypotenuse?
A: You would need additional information (either another side or angle) to calculate the area.