Question

if the base of a right-angled triangle is 6 units and
hypoternice is 10 uint , find its area​

Answer 1

Answer:

Correct option is

A

60cm

2

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

Answer 2

Step-by-step explanation:

let the height be 'x'

(10)^2= (6)^2 + (x)^2

100 = 36 + (x)^2

100 - 36 = (x)^2

64 = (x)^2

x = √64

x= 8

area of triangle = 1/2*bh

= 1/2*6*8

= 3*8

= 24units^2