The flower garden has the shape of a right triangle. 51 ft of a perennial border forms the hypotenuse of the triangle, and one leg is 21 ft longer than other leg. find the lengths of the legs. a right triangle has a vertical side of unlabeled length, a horizontal side of length x, and a hypotenuse of length 51 feet.

Let
x------> larger leg
y------> smaller leg

we now that
x=y+21----> equation 1
51²=x²+y²----> equation 2
substitute 1 in 2

2601=[y+21]²+y²----> 2601=y²+42y+441+y²
2y²+42y-2160=0

using a graph tool----> to resolve the second order equation
see the attached figure

the solution is 
y=24 ft
x=y+21-----> x=24+21-----> x=45 ft

the answer is
The length of the larger leg is 45 f
The length of the smaller leg is 24 ft

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)