A right triangle's hypotenuse is 1 cm longer than one of its legs. Find the legs and hypotenuse if the triangle's perimeter is 56. Include a diagram and use an algebraic method to solve.

$450

step-by-step explanation:

first, you have to multiply 150x2=300

next, you have to add 150+300= 450

their is no graph showing

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4