61.9k views
3 votes
Use your knowledge on the triangle proportionality theorem to find the missing side length indicated. Be sure to explain the proportion you used.

Use your knowledge on the triangle proportionality theorem to find the missing side-example-1
User Mateo Vial
by
3.5k points

1 Answer

10 votes

Answer:

? = 4.29

Explanation:

Remark

Let x be the question mark. You get the proportionality by using the dimensions of the little triangle to the dimensions of the large triangle.

Equation

14/(14+ 4) = 15/(x + 15) Combine like terms on the left

14/18 = 15/(x + 15) Cross multiply

14*(x + 15) = 18 * 15 Simplify the right

14(x + 15) = 270 Divide by 14

x + 15 = 270 / 14

x + 15 = 19.29 Subtract 15 from both sides

x = 19.29 - 15

x = 4.29

User Karl Giesing
by
3.7k points