Question

The leg of a right triangle is 3 units and the hypotenuse is 7 units. What is the length, in units, of the other leg of the triangle? (1 point) Group of answer choices 4 Square root of 40 Square root of 58 10

Answer 1

\sqrt{40\\} (Square Root of 40)

Explanation:

Use Pythagorean theorem formula and solve backwards

a^2 + b^2 = c^2

a and b are the lengths of the legs (a is leg 1 and b is leg 2)

c is the the hypotenuse

(substitute legs and hypotenuse) 3^2 + b^2 = 7^2

(simplify) 9 + b^2 = 49

(Solve) (9-9) + b^2 = 49-9 = b^2 = 40

(transform to Square root) b=
`√(40\\)`