Question

Necesito ayuda en mi trabajo de la escuela es bien importante y necesito ayuda pero no entiendo cómo puedo hacerlo

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the formula for calculating the area of a right triangle

`\begin{gathered} Area=(1)/(2)ab\sin\theta \\ For\text{ a right angle,} \\ \theta=90 \\ \sin90=1 \\ \therefore Area\text{ of right triangle}=(1)/(2)ab \end{gathered}`

STEP 2: Find the area of the bigger triangle

`(1)/(2)\cdot7\cdot3=(21)/(2)=10.5cm^2`

STEP 3: Find the area of the smaller triangle

`\begin{gathered} a=6cm,b=2cm \\ Area=(1)/(2)\cdot6\cdot2=(12)/(2)=6cm^2 \end{gathered}`

STEP 3: Find the difference in the areas

`\begin{gathered} Area\text{ of big right triangle - Area of small triangle} \\ =10.5cm^2-6cm^2=4.5cm^2 \end{gathered}`

Hence, the difference is 4.5cm²