Pythagorean triangles are perfect triangles
because they have integer sides, and integer area and integer perimeter.
So, an example of a perfect triangle is a Pythagorean triangle.
Answer:
The correct option is 1.
Step-by-step explanation:
It is given than the area of the triangle ABC is 46cm².
Area of a triangle is
![A=\frac{1}{2}\times base\times height](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20base%5Ctimes%20height)
Base of the triangle is AB and height of the triangle is CD.
![A=\frac{1}{2}\times AB\times CD](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20AB%5Ctimes%20CD)
![A=\frac{1}{2}\times AB\times 8](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20AB%5Ctimes%208)
![A=4\times AB](https://tex.z-dn.net/?f=A%3D4%5Ctimes%20AB)
The area of the triangle is 46cm².
![46=4\times AB](https://tex.z-dn.net/?f=46%3D4%5Ctimes%20AB)
![AB=\frac{46}{4}](https://tex.z-dn.net/?f=AB%3D%5Cfrac%7B46%7D%7B4%7D)
![AB=11.5](https://tex.z-dn.net/?f=AB%3D11.5)
Therefore the length of side AB is 11.5 cm. Option 1 is correct.
The answer is c which is correct