Advertisement Remove all ads

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. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

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. 

Advertisement Remove all ads

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
  Is there an error in this question or solution?

APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 17 Perimeter and Areas of Plane Figures
Q 14
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×