Area of a right triangle is equals to 6 square inches.
" Area is defined as total space occupied by any two dimensional object."
Formula used
Area of a right angled triangle = ( 1 / 2) × base × height
Pythagoras theorem
( Hypotenuse)² = ( base)² + (height)²
According to the question,
In a right angled triangle,
Hypotenuse = 5inches
Length of one leg represent base = 3 inches
Substitute the value in the Pythagoras theorem we have,
( 5 )² = ( 3 )² + ( height )²
⇒(height)² = 25 -9
⇒ height = √16
⇒ height = 4
Substitute the value of height and base in area formula we get,
Area of a right angled triangle = ( 1 / 2) × 3 × 4
= 6 in²
Hence, Option(A) is the correct answer.
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