Problema Solution
the hypotenuse of a right triangle is 19 cm and one leg is twice the other. find the perimeter of the triangle
Answer provided by our tutors
Let
c = 19 cm the hypotenuse
x = one leg
2x = the second leg that is twice the other
We will find x using the Pythagorean Theorem:
x^2 + (2x)^2 = 19^2
........
click here to see the equation solved for x
........
x = 8.50 cm
We need to ignore the negative solution since the length can be only positive.
P = x + 2x + c
P = 3x + c
P = 3*8.50 + 19
P = 44.5 cm
The perimeter of the triangle is 44.50 cm.