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Question
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.
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`
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