Right Triangles Calculator

June 2024 · 2 minute read
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Enter what you know below

Right Triangle Formula

a2 + b2 = c2

Take the square root of both sides

c = √a2 + b2
c = √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

You have 1 free calculations remaining

What is the Answer?

Angle A = 23.9625
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.

What 1 formula is used for the Right Triangles Calculator?

What 8 concepts are covered in the Right Triangles Calculator?

coscos(θ) is the ratio of the adjacent side of angle θ to the hypotenuseinradiusa radius of an inscribed circle or spherepythagorean theorema 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 = c2ratioindicates how many times one number contains anotherright trianglessinsin(θ) is the ratio of the opposite side of angle θ to the hypotenusetangentthe straight line that just touches the curve at that pointtrianglea flat geometric figure that has three sides and three angles

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