Question

The base and hypotenuse of a right triangle are 6cm and 10cm long.find area of triangle?​

Answer 1

Answer:

Let ABC is a right angled triangle at B

Base=BC=6cm

HypotenuseAC=10cm

Using Pythagoras theorem,

AC

2

=AB

2

+BC

2

AB

2

=AC

2

−BC

2

=10

2

−6

2

=100−36

AB=

64

=8cm

Altitude=AB=8 cm

Now , Area of triangle =

2

1

×base×altitude

=

2

1

×6×8

=24cm

2

Area of right △=

2

1

×base×altitude

Altitude =

(Hypotenuse)

2

−(Base)

2

=

(10)

2

−(6)

2

=

100−36

=

64

=8cm

∴ Area of right △=

2

1

×6×8=24cm

2

Step-by-step explanation:

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