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Right Triangle
<-- Angle A
<-- Side a
<-- Angle B
<-- Side b
<-- Side C
  

Right Triangle Formula

a2 + b2 = c2

Take the square root of both sides

c = √a2 + b2
c = √702 + 502
c = √4900 + 2500
c = √7400
c = 86.023252670426

Calculate Angle A:

sin(A)  =  OPPOSITE
  HYPOTENUSE

sin(A)  =  a
  c

sin(A)  =  70
  86.023252670426

Sin(A) = 0.81373347120673
Angle A = 54.4623°

Calculate Angle B:

sin(B)  =  OPPOSITE
  HYPOTENUSE

sin(B)  =  b
  c

sin(B)  =  50
  86.023252670426

Sin(B) = 0.5812381937191
Angle B = 35.5377°

Calculate inradius:

inradius  =  ab
  a + b + c

inradius  =  (70)(50)
  70 + 50 + 86.023252670426

inradius  =  3500
  206.02325267043

inradius = 16.988373664787

Angle A = 54.4623
Angle B = 35.5377
Side A = 70
Side B = 50
Side C = 86.023252670426


You have 2 free calculationss remaining




What is the Answer?
Angle A = 54.4623
Angle B = 35.5377
Side A = 70
Side B = 50
Side C = 86.023252670426
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?

a2 + b2 = c2

For more math formulas, check out our Formula Dossier

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

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