Answer:
A. 22.5 cm, 30 cm, and 37.5 cm
Step-by-step explanation:
If three sides of a triangle are in the ratio 3:4:5, then the lengths of the sides are 3x cm, 4x cm and 5x cm.
The preimeter of the triangle is the sum of the lengths of all sides, thus
![3x+4x+5x=90\\ \\12x=90\\ \\x=\dfrac{90}{12}=\dfrac{30}{4}=7.5\ cm](https://tex.z-dn.net/?f=3x%2B4x%2B5x%3D90%5C%5C%20%5C%5C12x%3D90%5C%5C%20%5C%5Cx%3D%5Cdfrac%7B90%7D%7B12%7D%3D%5Cdfrac%7B30%7D%7B4%7D%3D7.5%5C%20cm)
So, the lengths of the triangle's sides are
![3x=3\cdot 7.5=22.5\ cm\\ \\4x=4\cdot 7.5=30\ cm\\ \\5x=5\cdot 7.5=37.5\ cm](https://tex.z-dn.net/?f=3x%3D3%5Ccdot%207.5%3D22.5%5C%20cm%5C%5C%20%5C%5C4x%3D4%5Ccdot%207.5%3D30%5C%20cm%5C%5C%20%5C%5C5x%3D5%5Ccdot%207.5%3D37.5%5C%20cm)
The answer would be c. it is a flat Sudanese so you only need to square it
Answer:
<h3>4cm</h3>
Step-by-step explanation:
![area = \frac{1}{2} \times base \times height \\ 16 {cm}^{2} = \frac{1}{2} \times 2x \times x \\ 16 {cm}^{2} = \frac{2 {x}^{2} }{2} \\ \\ 16 {cm}^{2} \times 2 = 2 {x}^{2} \\ 32 {cm}^{2} = 2 {x}^{2} \\ \frac{32 {cm}^{2} }{2} = {x}^{2} \\ 16 {cm}^{2} = {x}^{2} \\ \sqrt{16 {cm}^{2} } = \sqrt{ {x}^{2} } \\ 4cm = x \\](https://tex.z-dn.net/?f=area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20base%20%5Ctimes%20height%20%5C%5C%2016%20%7Bcm%7D%5E%7B2%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%202x%20%5Ctimes%20x%20%5C%5C%2016%20%7Bcm%7D%5E%7B2%7D%20%20%20%3D%20%20%5Cfrac%7B2%20%7Bx%7D%5E%7B2%7D%20%7D%7B2%7D%20%20%5C%5C%20%5C%5C%2016%20%7Bcm%7D%5E%7B2%7D%20%20%5Ctimes%202%20%3D%202%20%7Bx%7D%5E%7B2%7D%20%5C%5C%2032%20%7Bcm%7D%5E%7B2%7D%20%20%3D%202%20%7Bx%7D%5E%7B2%7D%20%20%5C%5C%20%20%5Cfrac%7B32%20%7Bcm%7D%5E%7B2%7D%20%7D%7B2%7D%20%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%5C%5C%2016%20%7Bcm%7D%5E%7B2%7D%20%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%5C%5C%20%20%5Csqrt%7B16%20%7Bcm%7D%5E%7B2%7D%20%7D%20%20%3D%20%20%5Csqrt%7B%20%7Bx%7D%5E%7B2%7D%20%7D%20%20%5C%5C%204cm%20%3D%20x%20%5C%5C%20)