Geometry
Right Triangle Solver
Enter both perpendicular legs and the solver returns the hypotenuse, perimeter, area, altitude to the hypotenuse, and the acute angles.
Plug in both legs to get the hypotenuse, area, perimeter, altitude to the hypotenuse, and acute angles.
Pythagorean & trig relationships
c = √(a² + b²) Area = (ab)/2 Altitude to c = (ab)/c
Angles are derived from tan(A) = a/b and tan(B) = b/a, keeping the right angle locked at 90°. The altitude splits the hypotenuse into segments useful for drafting elevations.
How to use
- Measure both legs (sides that form the right angle) in the same unit.
- Enter those values and optionally adjust decimal precision.
- Read the full triangle solution—hypotenuse, area, perimeter, altitude, and acute angles.
Example
Input: Leg a = 3 ft, Leg b = 4 ft
Output: Hypotenuse = 5 ft, Area = 6 ft², Altitude to hypotenuse ≈ 2.4 ft
Student-friendly breakdown
This walkthrough emphasizes the most searched ideas for Right Triangle Solver: Right Triangle Solver. 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 Right Triangle Solver is a go-to tool whenever you need to computes hypotenuse, area, perimeter, and angles from the two legs.. It focuses on right triangle, pythagorean, hypotenuse, which means searchers often arrive with intent-heavy queries like “how to right triangle solver quickly” or “right triangle solver 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 angles are derived from tan(a) = a/b and tan(b) = b/a, keeping the right angle locked at 90°. the altitude splits the hypotenuse into segments useful for drafting elevations.—that’s why we surface the full expression (“c = √(a² + b²) Area = (ab)/2 Altitude to c = (ab)/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: Measure both legs (sides that form the right angle) in the same unit. Step 2: Enter those values and optionally adjust decimal precision. Step 3: Read the full triangle solution—hypotenuse, area, perimeter, altitude, and acute angles.. 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: “Leg a = 3 ft, Leg b = 4 ft” leading to “Hypotenuse = 5 ft, Area = 6 ft², Altitude to hypotenuse ≈ 2.4 ft.” 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
Can I enter decimals?
Yes. The calculator works with whole numbers or decimals so you can enter metric or imperial dimensions.
What if I only know the hypotenuse?
Provide both legs for a full solution. If you know a hypotenuse and one leg, solve for the other leg with a² + b² = c² before pasting those values here.
What formula does the Right Triangle Solver use?
Angles are derived from tan(A) = a/b and tan(B) = b/a, keeping the right angle locked at 90°. The altitude splits the hypotenuse into segments useful for drafting elevations.
How do I use the Right Triangle Solver?
Measure both legs (sides that form the right angle) in the same unit. Enter those values and optionally adjust decimal precision. Read the full triangle solution—hypotenuse, area, perimeter, altitude, and acute angles.