Let A be the area of a triangle with sides of length 25,25 and 30.Let B be the area of a triangle with sides of length 25,25, and 40.Find A/BDraw diagrams to represent the two triangles and label them with their dimensions. Use the formula for the area of a triangle to find A and B.

Respuesta :

We have 2 triangles:

Let H be the height of the second triangle and h the height of the first triangle. Hence, their area are given by

[tex]\begin{gathered} A=\frac{25\cdot h}{2} \\ B=\frac{25\cdot H}{2} \end{gathered}[/tex]

From these relations, we have

[tex]\frac{A}{B}=\frac{\frac{25\cdot h}{2}}{\frac{25\cdot H}{2}}[/tex]

By using the sandwich law, this is equal to

[tex]\frac{A}{B}=\frac{2(25\cdot h)}{2(25\cdot H)}[/tex]

Finally, the answer is

[tex]\frac{A}{B}=\frac{h}{H}[/tex]

Ver imagen MyrahA172617