Question

Write an expression in simplest form for the perimeter of a right triangle with leg lengths of
12a^4 and 16a^4.
An expression is .....a^4

Answer 1

Answer:

48a^4

Step-by-step explanation:

1) use the Pythagorean theorem to find the hypotenuse

$\sqrt{(12a^4)^2 + (16a^4)^2}= \sqrt{144a^8+256a^8} = \sqrt{400a^8} = 20a^4$

2) find the perimeter

$12a^4 + 16a^4 + 20a^4 = 48a^4$