One leg of a right triangle is one inch shorter than the other leg. If the hypotenuse is 5 inches, find the length of
the shorter leg. Please show your work so I can understand. It is supposed to be a quadratic equation by the way.

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!