What is the area of a right triangle with a leg length of 15 feet and hypotenuse length of 39 feet

The formula of the area of a triangle is given by

A = (1/2) a*b

where a and b are the two shortest legs of the triangle, keeping in mind that the longest side of a triangle is the hypotenuse.

Since we are given with the length of a short leg and the hypotenuse, we can calculate for the length of the second short leg through the Pythagorean Theorem which is given as

c^2=a^2+b^2

Hence,

(39) ^2 = (15) ^2+b^2

1521=225+b^2

1296=b^2

b=36 feet

The length of the other short leg is then 36 ft. Substituting this to the formula of the area we have

A = (1/2) (15) (36)

A=270 ft^2

The area of the specified right triangle is 270 square feet.