Overlapping similar triangles

Determine the value of x

• 5

• h

• L

• can't determine from information given

Tags

CCSS.HSG.CO.C.9

Which of the following would be a correct proportion to solve for x?

• $\frac{x}{h}=\frac{L}{L}$

• $\frac{x}{L}=\frac{h}{L}$

• $\frac{x}{h}=\frac{L}{2L}$

• None of the above

Tags

CCSS.HSG.CO.C.9

Assume the two triangles are right triangles. What proportion allows you to solve for H3?

• $\frac{2.6}{3.9}=\frac{6}{H3}$

• $\frac{2.6}{3.9}=\frac{6}{H3+6}$

• $\frac{H3}{3.9}=\frac{2.6}{6}$

• None of the above

Tags

CCSS.HSG.CO.C.9

Suppose that AD = 2.45, and BD = 7.37. Find the altitude (CD) of the triangle. Use the proportion as your guide (this is known as the geometric mean for similar right triangles).

• 4.25

• 18.06

• 9.82

• 3.13

Tags

CCSS.HSG.CO.C.10

The geometric mean says we can take the square root of 3*9 to get the altitude (height) of the right triangle ABC. Use this information to find the altitude.

• 9

• 12

• 5.2

• 3.46

The geometric mean for similar right triangles says that to find y we take the square root of the product of 6 and 30. Find the value of y.

• 13.4

• 6

• 180

• None of the above

Tags

CCSS.HSG.CO.C.9

Use the proportion to find the length of leg2. Suppose AD = 3.82 and BD = 6. Find the length of leg2.

• 58.92

• 9.82

• 7.68

• 3.13

Tags

CCSS.HSG.CO.C.9

Challenge: Use what you know from the previous examples to set up a proportion to solve for x.

• $\frac{3}{6}=\frac{x}{3}$

• $\frac{x}{6}=3$

• $\frac{3}{x}=\frac{6}{3}$

• $\frac{3+x}{6}=\frac{6}{3}$

Tags

CCSS.HSG.CO.C.9