The area A of a right triangle is equal to one-half times leg a times leg b. If you know the length of the two legs in a right triangle, then you can find the area using the formula: There are a few methods to find the area of a right triangle. Learn more about using this mnemonic on our SOHCAHTOA calculator. SOH: sin(θ) = opposite ÷ hypotenuse CAH: cos(θ) = adjacent ÷ hypotenuse TOA: tan(θ) = opposite ÷ adjacent If you split SOHCAHTOA into three parts, each part represents one of the formulas, where each letter is the first letter in the part of the equation. You can use the mnemonic SOHCAHTOA to help remember the equations above. Subtract 90° (because this is a right triangle, we know one of the angles is 90°) and the angle you just found from 180 to find the missing angle. You can also use the special rule of triangles where the sum of all angles must equal 180°. The first way is to repeat using the same method as before, but with a different formula to find the remaining angle. You can find the remaining angle in a few ways. Note, in the above example, the inverse of cosine was used in the second to last question to isolate θ. So, for a right triangle with angle θ, with an adjacent side length of 7 and hypotenuse of 15, the angle θ is 62.18°. Start by choosing the equation using adjacent and hypotenuse: cos(θ) = adjacent ÷ hypotenuseĬos(θ) = 7 ÷ 15 cos(θ) = 0.4667 θ = cos -1(0.4667) θ = 62.18° For example, let’s find the angle of a triangle if the adjacent side length is 7 and the hypotenuse is 15.
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