The hypotenuse of a 45°-45°-90° triangle measures units. What is the length of one leg of the triangle?7 units units14 units units

Answer:7 unitsStep-by-step explanation:In an isosceles right triangle, the hypotenuse is √2 times the leg length. Then ...... 7√2 = leg·√2... 7 = leg . . . . . . . divide both sides by √2_____Comment on isosceles right triangleIf the legs are both length 1, the Pythagorean theorem tells us ...... hypotenuse² = 1² +1² = 2... hypotenuse = √2 . . . . . . . . . square root both sides of the equationThis result can be scaled by any multiplier you like. In this problem, the scale factor is 7, making the legs 7 and the hypotenuse 7√2.