Question

Ratio of areas of 2 triangles with equal base is  3 : 5.  If height of bigger triangle is 15 cm, then what is height of smaller triangle (2 Points)​

Answer 1

Step-by-step explanation:

Let A

1

and A

2

be the areas of the two triangles respectively.

A

1

>A

2

A

1

=

2

1

b

1

h

1

and A

2

=

2

1

b

2

h

2

A

2

A

1

=

2

1

b

2

h

2

2

1

b

1

h

1

5

6

=

b

2

h

2

b

1

h

1

Given that b

1

=b

2

⇒

h

2

h

1

=

5

6

Given h

1

=9cm

⇒

h

2

9

=

5

6

⇒h

2

=

6

9×5

=

6

45

=7.5cm

thus, height of the smaller triangle=7.5cm

Answer 2

Ratio of area = Ratio of height

Therefore, ratio of height is also 3 : 5

Height of bigger triangle is 15cm

From the ratio we can see that the '5' is bigger triangle

x/3 = 15/5

x = 3×3

= 9.

So, 9 is the answer in cm.