If you heard about trigonometry, you could use the properties of sine and cosine. OK, looks easy, but where does it come from? There are a couple of methods to prove that equation, the most popular between them are:Īs you know one leg length a, you the know the length of the other as well, as both of them are equal.įind the hypotenuse from the Pythagorean theorem:Ī² + b² = c² => a² + a² = c² so c = √(2a²) = a√2 Using the properties of the squareĭid you notice that the 45 45 90 triangle is half of a square, cut along the square's diagonal?Again, we know that both legs are equal to a Using trigonometry If you are wondering how to find the formula for 45 45 90 triangle hypotenuse, you're at a right place.If the leg of the triangle is equal to a, then:the second leg is also equal to athe hypotenuse is a√2the area is equal to a²/2the perimeter equals a(2 + √2) How to solve a 45 45 90 triangle? 45 45 90 triangle formula If you want to know more about another popular right triangles, check out this 30 60 90 triangle tool and the calculator for special right triangles. You are watching: The hypotenuse of a 45°-45°-90° triangle measures units. Find out what are the sides, hypotenuse, area and perimeter of your shape and learn about 45 45 90 triangle formula, ratio and rules. 45 45 90 triangle calculator is a dedicated tool to solve this special right triangle.
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