Question

What is the area of the triangle formed from (0,1), (0,4), and (4,1)?

Answer 1

6 square units

Explanation:

base = 4 units

height = 3 units

`\sf \boxed{\bf Area \ of \ triangle = (1)/(2)*base*height}`

`\sf =(1)/(2)*4*3\\\\ = 2*3\\\\ = 6 \ square units`

Answer 2

Given :

• Height of triangle = 3 units
• Base of triangle = 4 units

To Find :

• Area of triangle

Solution :

`\Large❏ \: \large\begin{gathered} {\underline{\boxed{ \rm {\blue{Area \: of \: triangle \: = \: (1)/(2) \: * \: Base \: × \: Height }}}}}\end{gathered}`

`\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: (1)/(2) \: * \: Base \: × \: Height`

`\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: (1)/(2) \: * \: 4 \: × \: 3`

`\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: (1)/( \cancel2) \: * \: \cancel{4} \: ^(\green2) \: × \: 3`

`\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: 2 \: * \: 3`

`\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: 6`

Hence , the area of triangle is 6 units.