Question

The perimeter of a right angled triangle is
24 cm and its hypotenuse 10 cm. The area of
the triangle is​

Answer 1

I think u r satisfied..

area = ½ * L * b

= ½ * 10 * 4

= 20 cm²

Answer 2

Step-by-step explanation:

Perimeter of the triangle =24 cm,

AB+BC+AC=24,

a+b+10=24,

a+b=14 (1),

From Pythagoras theorem,

AB2+BC2=AC2,

a2+b2=102,

a2+b2=100 (2),

Now,

Now,(a+b)2=a2+b2+2ab,

From (1) and (2),

(14)2=100+2ab,

2ab=196−100,

2ab=96,

ab=48,

Area of the triangle =21×base×height,

=21ab

=21ab=248

=21ab=248=24 cm2

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