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# 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

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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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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 17 Perimeter and Areas of Plane Figures
Q 14

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