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Calculate the Area of a Right-angled Triangle Whose Hypotenuse is 65cm and One Side is 16cm. - Mathematics

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प्रश्न

Calculate the area of a right-angled triangle whose hypotenuse is 65cm and one side is 16cm.

योग

उत्तर

Hypotenuse = 65cm
One side = 16cm
Let the other side be of length x cm
By Pythagoras theorem,
(65cm)2 = (16cm)2 + (x cm)2
(x cm)2 = 4225cm2 - 256cm2
= 3969cm2
= (63cm)2
⇒ x = 63cm
Area of the triangle
= 12×(Base×Height)

= 12×16cm×63cm
= 504cm2.

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अध्याय 17: Pythagoras Theorem - Exercise 17.1

APPEARS IN

फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 17 Pythagoras Theorem
Exercise 17.1 | Q 3

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