Math, asked by sanjaypillaiblr, 1 month ago

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Answered by sharma85hariom
0

Let ABC be the given right angled triangle such that base=BC=x cm and hypotenuse AC=25cm

Now, perimeter =60cm

AB+BC+AC=60

AB+x+25=60

AB=35−x

By Pythagoras theorem, we have

AB

2

+BC

2

=AC

2

⇒(35−x)

2

+x

2

=25

2

⇒2x

2

−70x+600=0

⇒x

2

−35x+300=0⇒x

2

−20x−15x+300=0⇒(x−20)(x−15)=0⇒x=20orx=15

If x=20, then AB=35−x=15 and BC=x=20

Area =

2

1

(BC×AB)=

2

1

(20×15)=150cm

2

If x=15, then AB=35−x=20 and BC=x=15

Area =

2

1

(BC×AB)=

2

1

(15×20)=150cm

2

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Answered by hariprasadsahu1979
1

Answer:

hello brother r u Assamese

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