Answered

The area of a right triangle with one leg measuring 5 ft. and hypotenuse measuring 13 ft. is


30 ft.²

37.5 ft.²

65 ft.²

Verified Answer :

khankareem

The answer is 30 ft.²

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

  \(Base^2+height^2=hypotenuse^2\)

     \(5^2+x^2=13^2\\\\x^2=169-25\\\\x^2=144=12\times 12\\\\x=12\)

Hence, length of second leg=12 ft.

Area=

\(\dfrac{1}{2}\times 5\times 12\\ \\=30 ft.^2\)

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