Enter what you know below
Right Triangle Formula
a2 + b2 = c2Take the square root of both sides
c = √a2 + b2c = √202 + 452
c = √400 + 2025
c = √2425
c = 49.244289008981
Calculate Angle A:
| sin(A) = | OPPOSITE |
| HYPOTENUSE |
| sin(A) = | a |
| c |
| sin(A) = | 20 |
| 49.244289008981 |
Sin(A) = 0.40613846605345
Angle A = 23.9625°
Calculate Angle B:
| sin(B) = | OPPOSITE |
| HYPOTENUSE |
| sin(B) = | b |
| c |
| sin(B) = | 45 |
| 49.244289008981 |
Sin(B) = 0.91381154862026
Angle B = 66.0375°
Calculate inradius:
| inradius = | ab |
| a + b + c |
| inradius = | (20)(45) |
| 20 + 45 + 49.244289008981 |
| inradius = | 900 |
| 114.24428900898 |
inradius = 7.8778554955097
Angle A = 23.9625
Angle B = 66.0375
Side A = 20
Side B = 45
Side C = 49.244289008981
Angle B = 66.0375
Side A = 20
Side B = 45
Side C = 49.244289008981
What is the Answer?
Angle A = 23.9625
Angle B = 66.0375
Side A = 20
Side B = 45
Side C = 49.244289008981
Angle B = 66.0375
Side A = 20
Side B = 45
Side C = 49.244289008981
How does the Right Triangles Calculator work?
Free Right Triangles Calculator - This solves for all the pieces of a right triangle based on given inputs using items like the sin ratio, cosine ratio, tangent ratio, and the Pythagorean Theorem as well as the inradius.
This calculator has 5 inputs.
This calculator has 5 inputs.
What 1 formula is used for the Right Triangles Calculator?
a2 + b2 = c2
What 8 concepts are covered in the Right Triangles Calculator?
- cos
- cos(θ) is the ratio of the adjacent side of angle θ to the hypotenuse
- inradius
- a radius of an inscribed circle or sphere
- pythagorean theorem
- a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides
a2 + b2 = c2 - ratio
- indicates how many times one number contains another
- right triangles
- sin
- sin(θ) is the ratio of the opposite side of angle θ to the hypotenuse
- tangent
- the straight line that just touches the curve at that point
- triangle
- a flat geometric figure that has three sides and three angles
