Question

The perimeter of right angled triangle is 60 cm. Find the area of triangle, if the sides are
in 3 : 4:5 proportion.​

Answer 1

Answer:

hope it helps you

Step-by-step explanation:

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

Answer 2

Answer:

sorry

i dont know answer