SOLUTION: The length of a right angle triangle are (7-x)cm,(5x+2)cm and (5x+3)cm write down in terms of x. (a) the perimeter (b) the area of the triangle form an equation in x and hence s

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The length of a right angle triangle are (7-x)cm,(5x+2)cm and (5x+3)cm write down in terms of x. (a) the perimeter (b) the area of the triangle form an equation in x and hence s      Log On


   

Question 1151016: The length of a right angle triangle are (7-x)cm,(5x+2)cm and (5x+3)cm write down in terms of x.
(a) the perimeter
(b) the area of the triangle
form an equation in x and hence solve for x in order to find the perimeter and area of the triangle
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Take the 5x+3 side length to be as hypotenuse. Use of Pythagorean theorem and then solving for x will give x%5E2-24x%2B44=0, and then x=2.

Perimeter will be %287-x%29%2B%285x%2B2%29%2B%285x%2B3%29
7%2B2%2B3-x%2B10x
highlight_green%289x%2B12%29
9%2A2%2B12
highlight%2830%2Acm%29

The side lengths are: 5, 12, 13

AREA----------------------
The two legs are 5 and 12 cm length.
%281%2F2%295%2A12
highlight%2830%29cm%5E2