Answer:
Area=30 ft.²
Step-by-step explanation:
we are given a right triangle with one leg measuring 5 ft. and hypotenuse measuring 13 ft.
We have to find the area of this triangle
We first find the second leg let it be x
(legs of right angled triangle means its base and height)
we use pythagoras theorem
[tex]Base^2+height^2=hypotenuse^2[/tex]
[tex]5^2+x^2=13^2\\\\x^2=169-25\\\\x^2=144=12\times 12\\\\x=12[/tex]
Hence, length of second leg=12 ft.
Area=
[tex]\dfrac{1}{2}\times 5\times 12\\ \\=30 ft.^2[/tex]
