Math

Triangle Calculator

Enter three side lengths to confirm the triangle is valid, then instantly view its area, angles, and classification.

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Triangle Solver

Enter all three sides; get type, area, and precise internal angles.

Triangle valid
Yes
Type
Scalene
Perimeter
24
Area
26.8328
Angles (°)
A: 48.19°, B: 58.41°, C: 73.4°

Heron’s formula & law of cosines

Area = √[s(s − a)(s − b)(s − c)]

The calculator first uses Heron’s formula to get area from the semi-perimeter s = (a + b + c)/2. Internal angles come from the law of cosines: cos(A) = (b² + c² − a²) ÷ (2bc), and so on.

How to use

  1. Enter the three side lengths; units can be any consistent measure.
  2. Confirm the triangle is valid—if not, adjust the sides until the triangle inequality is satisfied.
  3. Read the perimeter, area, angle sizes, and detected triangle type.

Example

Input: Sides = 7, 8, 9

Output: Area ≈ 26.83 square units, Angles ≈ 48.19°, 58.41°, 73.40°, Type = Scalene

Student-friendly breakdown

This walkthrough emphasizes the most searched ideas for Triangle Calculator: triangle calculator, triangle area calculator, triangle solver, triangle side calculator. Start with the formula above, then follow the guided steps to double-check your work. For quick revision, highlight the givens, plug into the equation, and finish by verifying your units.

Need more support? Use the links below to open the long-form guide, browse additional examples, or hop into adjacent calculators within the same topic. Each resource is interlinked so crawlers (and readers) can discover the next best action within a couple of clicks—one of the easiest ways to lift topical authority.

Deep dive & study plan

The Triangle Calculator is a go-to tool whenever you need to solve triangle perimeter, area, and internal angles from three sides.. It focuses on geometry, triangle, angles, which means searchers often arrive with intent-heavy queries like “how to triangle calculator quickly” or “triangle calculator formula explained.” Use this calculator to capture those intents and keep learners on the page long enough to send positive engagement signals.

Under the hood, the calculator leans on the calculator first uses heron’s formula to get area from the semi-perimeter s = (a + b + c)/2. internal angles come from the law of cosines: cos(a) = (b² + c² − a²) ÷ (2bc), and so on.—that’s why we surface the full expression (“Area = √[s(s − a)(s − b)(s − c)]”) directly above the interactive widget. When you embed that formula inside H2s or supporting paragraphs, you help both humans and crawlers understand what entity the page represents.

Execution matters as much as the math. Follow the built-in procedure: Step 1: Enter the three side lengths; units can be any consistent measure. Step 2: Confirm the triangle is valid—if not, adjust the sides until the triangle inequality is satisfied. Step 3: Read the perimeter, area, angle sizes, and detected triangle type.. Each numbered instruction is short enough to scan on mobile but descriptive enough to satisfy Google’s Helpful Content guidelines. Encourage students to jot down units, double-check signs, and compare answers with the Example card to build confidence.

The Example section itself is packed with semantic clues: “Sides = 7, 8, 9” leading to “Area ≈ 26.83 square units, Angles ≈ 48.19°, 58.41°, 73.40°, Type = Scalene.” Pepper similar narratives throughout your copy (and internal links from related guides) so canonical search intents are answered without pogo-sticking back to Google.

Quick retention checklist

  • Speak the formula aloud (or annotate it) so the relationships stick.
  • Write each step in your own words and compare with the numbered list above.
  • Swap in new numbers for the Example to make sure the calculator (and your logic) handles edge cases.
  • Link out to at least two related calculators to keep readers exploring your topical hub.

FAQ & notes

Why do I get an invalid triangle warning?

A triangle must satisfy the inequality that any two sides summed together exceed the third. If that rule is broken, adjust the inputs until it holds.

Can I use this for right triangles?

Yes. If the inputs form a right triangle the tool labels it accordingly and still reports angles and area.

What formula does the Triangle Calculator use?

The calculator first uses Heron’s formula to get area from the semi-perimeter s = (a + b + c)/2. Internal angles come from the law of cosines: cos(A) = (b² + c² − a²) ÷ (2bc), and so on.

How do I use the Triangle Calculator?

Enter the three side lengths; units can be any consistent measure. Confirm the triangle is valid—if not, adjust the sides until the triangle inequality is satisfied. Read the perimeter, area, angle sizes, and detected triangle type.