SOLUTION: find the perimeter of right triangle ABC if the legs are 3 inches and 4 incehs.

Question 107382: find the perimeter of right triangle ABC if the legs are 3 inches and 4 incehs.
Found 2 solutions by solver91311, TP:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
There are two ways to go after this one. The simple way is to recall that a right triangle with legs of 3 and 4 has a hypotenuse that measures 5. (3-4-5 right triangle). 3+4+5 = 12.

Or, if you don't recall the 3-4-5 right triangle, you can fall back on our good friend Pythagoras who said that the square on the hypotenuse is equal to the sum of the squares on the other two sides, or symbolically:

, or in terms of c (the value we need to determine),

In this case: .

Again, our sides are 3, 4, and 5, so our perimeter must be 12.
Answer by TP(29) (Show Source): You can put this solution on YOUR website!
You need to know that in a right angled triangle the sum of the squares of the "legs" is equal to the square of the longest side(the hypotenuse).
This is known as Pythagoras's Theorem and apparently it was used in the building of the Pyramids!
In order to find the perimeter(the distance all round) of the triangle we need to know the length of the third side and since it is a right angled triangle we can use this theorem.
Using algebra the theorem states: a^2+b^2=c^2 where a and b are the "legs" and c is the hypotenuse.
In your question a=3ins and b=4ins and so 3^2+4^2=c^2.
Hence c^2= 9+16=25.
So c==5 (strictly speaking = plus or minus 5 but in the context of the question c must =5,since it is a length(a scalar quantity)). So the sides are 3,4 and 5 inches.
Hence the perimeter is 3+4+5=12 inches ANS
RELATED QUESTIONS
find the perimeter of right triangle ABC if the legs are 3 inches and 4... (answered by richwmiller)
In right triangle ABC the legs are 6 inches and 8 inches find the length of the... (answered by bucky)
In an isosceles right triangle, the legs are 3 inches smaller than the hypotenuse. If the (answered by josgarithmetic,MathTherapy)
In a trapezoid the bases are 8 incehs and 4 inches, the non parallel sides are 5 inches... (answered by Annabelle1)
What is the perimeter of a right triangle if the lengths of the legs are 10 inches and 24 (answered by opeodu)
the two legs of a right triangle are 8 inches and 3 inches. find the hypotenuse of the... (answered by Alan3354)
In right triangle ABC, the lengths of the two legs are 5 inches and 8 inches. What is the (answered by Alan3354)
The two legs of a right triangle are 10 inches and 22 inches. Find the hypotenuse of the... (answered by Boreal)
What is the perimeter of a right triangle if both legs are 3... (answered by zoomkaboom4,Alan3354)