Answer:
Step-by-step explanation:
(x₁, y₁) = (-9 ,8) and (x₂ , y₂) = (-3 , -1)
![Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-1-8}{-3-[-9]}\\\\=\dfrac{-9}{-3+9}\\\\=\dfrac{-9}{6}\\\\=\dfrac{-3}{2}](https://tex.z-dn.net/?f=Slope%20%3D%20%5Cdfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-1-8%7D%7B-3-%5B-9%5D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-9%7D%7B-3%2B9%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-9%7D%7B6%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-3%7D%7B2%7D)
Answer:
76.5 cm²
Step-by-step explanation:
Given the triangles are similar , then
ratio of sides = a : b , so
ratio of areas = a² : b²
Here ratio of sides = 9 : 13.5 = 2 : 3
ratio of areas = 2² : 3² = 4 : 9
let x be the area of Δ DEF and using proportion
=
( cross- multiply )
4x = 306 ( divide both sides by 4 )
x = 76.5
The area of Δ DEF = 76.5 cm²