What is the length of the diagonal of a square with side lengths 7 square root of 2 ? round to the nearest tenth if necessary?
1 answer:
There is 2 ways to solve this type of question. Method 1 -------------------------------------------------- Formula -------------------------------------------------- a² + b² = c² -------------------------------------------------- Apply the formula --------------------------------------------------- (7√2)² + (7√2)² = c² c² = 98 + 98 c² = 196 c = √196 c = 14 --------------------------------------------------Ans: The diagonal length is 14cm -------------------------------------------------- _____________________________________________________________ Method 2 -------------------------------------------------- Identify the triangle -------------------------------------------------- This is a special triangle 45° - 45° - 90° -------------------------------------------------- Property of the Angles -------------------------------------------------- x - x - x√2 -------------------------------------------------- Find hypotenuse -------------------------------------------------- Given that the non-hypotenuse is 7√2 Hypotenuse = (7√2)(√2) Hypotenuse = 7 x 2 Hypotenuse = = 14cm --------------------------------------------------Ans: The diagonal length is 14cm --------------------------------------------------
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