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. 

Answer 1

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`