Question

( Brain + 100 points ) A triangle has an area of 30 cm squared. What might the base and height be? Give 3 examples.

Answer 1

Let's see

Base be B

Height be H

So

• 1/2BH=30
• BH=2(30)
• BH=60

The ppossible values are

• B=6,H=10
• H=6,B=10
• H=3,B=20
• B=3,H=20
• B=2,H=30
• H=2,B=30
• H=1,B=60
• B=1,H=60

Answer 2

`\text{The base and height have to be factors of 60, since}\\\\~~~~~~~~\text{Area}= (1)/(2) * \text{Base} * \text{Height}\\\\\implies 30 = \frac 12 * \text{Base} * \text{Height}\\\\\implies \text{Base} * \text{Height}= 60`

`\textbf{Example 1:}\\\\\text{Height} = 6~ cm \\\\\text{Base} = 10~ cm\\\\\text{Area} = \frac 12 * 6 * 10 = 30~ cm^2\\\\\textbf{Example 2:}\\\\\text{Height} = 5~ cm\\\\\text{Base} = 12~ cm\\\\\text{Area} = \frac 12 * 12 * 5 = 30~ cm^2\\\\\textbf{Example 3:}\\\\\text{Height} =4~ cm\\\\\text{Base} = ~15 ~cm\\\\\text{Area} = \frac 12 * 15 * 4 = 30~ cm^2`