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

Answer:

height is less than 4 cm

Step-by-step explanation:

We know,

Area of a triangle = $\frac{1}{2}$ × b × h

Where,

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

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

$\frac{1}{2}$ × 6 × h < 12

➨ $\frac{1}{2}$ × 6h < 12

➨ $\frac{6h}{2}$ < 12

➨ $\cancel{\frac{6h}{2}}$ < 12

➨ 3h < 12

➨ h < 4

Height is to be less than 4 cm.