The hypotenuse of a right-angled triangle is 65 cm and its base is 60 cm. Find the length of perpendicular and the area of the triangle.

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#### Solution

Hypotenuse = 65 cm

Base = 60 cm

In a right angled triangle,

`"(Hypotenuse)"^2="(Base)"^2+"(Perpendicular)"^2`

⇒`(65)^2=(60)^2+"(perpendicular)"^2`

⇒ `(65)^2-(60)^2+"(perpendicular)"^2`

⇒`"(Perpendicular)"^2=(65-60)(65+60)`

⇒`"(Perpendicular)"=5xx125`

⇒`"(Perpendicular)"^2=625`

⇒`"(Perpendicular)"^2=25 cm`

`"Area of triangle"=1/2xx"Base"xx"perpendicular"`

=`1/2xx60xx25`

=`750cm^2`

Concept: Circumference of a Circle

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