91.9k views
4 votes
Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 3a cubed and 4a cubed

1 Answer

6 votes

Answer:

106.4622
a^(3)

Explanation:

Given the information:

  • A right triangle
  • Leg lengths of
    (3a)^(3) and
    (4a)^(3)

Use the pytagon theory to find the hypotenuse of the triangle


a^(2) + b^(2) = c^(2)

<=>
((3a)^(3)) ^(2) + ((4a)^(3)) ^(2) = c^(2)

<=>
(3a)^(6) + (4a)^(6) = c^(2)

<=>
c^(2) = 4285a^(6)

Take the square root of both sides

<=> c = 69.4622
a^(3)

=> expression in simplest form for the perimeter of a right triangle is:


(3a)^(3) +
(4a)^(3) + 69.4622
a^(3)

= 27
a^(3) + 64
a^(3) + 69.4622
a^(3)

= 106.4622
a^(3)

User Divergio
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories