Question

A triangle has a base of length 6cm and an area of less than 12cm². What can we say about its height?

NOTE: This is an inequality word problem.

Answer 1

height is less than 4 cm

Explanation:

We know,

Area of a triangle =
`(1)/(2)` × b × h

Where,

• base is denoted by b
• height is denoted by h

We know A is less than 12 and base is 6cm

`(1)/(2)` × 6 × h < 12

➨
`(1)/(2)` × 6h < 12

➨
`(6h)/(2)` < 12

➨
`\cancel{(6h)/(2)}` < 12

➨ 3h < 12

➨ h < 4

Height is to be less than 4 cm.