Geometry Warm ups

7-4 SIMILARITY IN RIGHT TRIANGLE

Problem 1 – identifying similar triangles

What similarity statement can you write relating the three triangles in the diagram?

Geometric Mean

Geometric mean – for any two positive numbers a and b, the geometric mean of a and b is the positive number x such that

*one “diagonal” will always have the Xs.

“Double Diag”

Problem 2 – Geometric MeanLeave all answers in Radical Form.

• What is the geometric mean of 6 and 15?

• What is the geometric mean of 4 and 18?

90

72

Corollary:Using the “Double Diag” in a Triangle

Problem 3• What are the values of x and y?

48y

16

4

x

x

8x

TWAP

20

6x

y

TOO

448

336

x

y

Problem 4

275 275

2 275

Homework

7-4 Worksheet