If the length of one leg of a right triangle is 4 and the hypotenuse is √65 , what is the length of the other leg?
Accepted Solution
A:
Answer:7Step-by-step explanation:Using Pythagoras' identity on the right triangleThe square on the hypotenuse is equal to the sum of the squares on the other 2 sides.let x be the other leg, thenx² + 4² = ([tex]\sqrt{65}[/tex] )²x² + 16 = 65 ( subtract 16 from both sides )x² = 49 ( take the square root of both sides )x = [tex]\sqrt{49}[/tex] = 7That is the other leg is 7 units