1. GT Geom. DRILL 1/10/12
SIMPLIFY( exact answers)
1) (√7)(√6) 2)4√ 5 – 2√5
3) 5 4) 3√2 + 5√2
√10

2. objective
STW continue to
work with the
Pythagorean
theorem and special
right triangles

3. THINK!
In an isosceles right triangle the
length of one leg is 5cm find the
other two sides of a triangle.
In an equilateral triangle the sides
measure 6 cm find the height and
then find the area.

4. Theorem
In a 45-45-90
triangle , the
hypotenuse is √2
times the length
of a leg.

5. 45-45-90
triangle
45
x x√2
45
x

6. Theorem
In a 30-60-90 triangle, the
hypotenuse is twice as
long as the shorter leg,
and the longer leg is √3
times as long as the
shorter leg.

7. 30-60-90
triangle
30
2x
x√3
60

8. Find z and y
2.
1. 30 
3
45
y y 8
3. z z
4.
8 3
y 
45 6
60  y

9. Find z and y
1. 45 − 45 − 90
y a= x=3

45
3
b= x=3
z
c= x 2 =3 2

10. Find z and y
30 − 60 − 90
2.
30  a=x=4
y 8
b=x 3=4 3
c = 2x = 8
z

11. Find z and y
3.
8 3
y

60
z

12. Find z and y
4.

45 6
y
z

13. Classwork
Worksheets 5.4