1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Allushta [10]
3 years ago
6

Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a5 and 9a5.

Mathematics
1 answer:
valina [46]3 years ago
4 0

Given:

The lengths of legs of a right triangle are 12a^5 and 9a^5.

To find:

The perimeter of a right triangle.

Solution:

In a right angle triangle,

Hypotenuse=\sqrt{Leg_1^2+Leg_2^2}

Hypotenuse=\sqrt{(12a^5)^2+(9a^5)^2}

Hypotenuse=\sqrt{144a^{10}+81a^{10}}

Hypotenuse=\sqrt{225a^{10}}

On further simplification, we get

Hypotenuse=\sqrt{(15a^{5})^2}

Hypotenuse=15a^5

Now, the perimeter of the triangle is the sum of all of its sides.

Perimeter=Leg_1+Leg_2+Hypotenuse

Perimeter=12a^5+9a^5+15a^5

Perimeter=36a^5

Therefore, the perimeter of the right triangle is 36a^5.

You might be interested in
8/11 divide by 3/5<br><br> find the quotient
AURORKA [14]

Answer:

=40/33

8/11 divide 3/5 -> 8/11 x 5/3 and multiply 8x5 then 11x3 then u got your answer! :)

Hope this worked :D

8 0
3 years ago
Read 2 more answers
Peter was told by his teacher that he needed to measure the height of the building in which his classroom was located. He backs
Fed [463]

Answer:

<h2>IT'S 22 JUST FOUND OUT </h2>

Step-by-step explanation:

5 0
3 years ago
A number that is at least 13
AveGali [126]

Answer:

13≤x

-hope this helps



8 0
4 years ago
Solve the inequality
mojhsa [17]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
An artist uses 49.4 centimeters of decorative molding to make a square picture frame
MatroZZZ [7]
I don't know.. what happens next?
7 0
4 years ago
Other questions:
  • Well I need to learn....my brain, my teacher,
    5·1 answer
  • The equation of line AB is (y-3)=5(x-4) what is the slope of a line perpendicular to line AB
    5·1 answer
  • A lender estimates the closing costs on a home loan of $90,000 as listed below. Closing Cost Charge Loan origination $180 Title
    7·1 answer
  • Tim has a recipe for chocolate mousse. The recipe is for 8 people. The recipe needs 200g of . Tim wants to make chocolate mousse
    14·1 answer
  • 5/15=x/x+8 what is the value of x?
    8·1 answer
  • U={1, 2, 3, 5, 7, 8)
    9·1 answer
  • Determine the domain of the following graph:<br> Help
    15·1 answer
  • Which point is a solution to the inequality?
    5·1 answer
  • What does 4^8/4^-2 equal?
    11·2 answers
  • Help me pls if you do bless your soul
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!