Aim #17: How do we add and subtract expressions with radicals?
y
Do Now:
2
1. A square with side 1 has two adjacent sides on the
x and y axes. Determine the length of diagonal d,
in radical form.
1
2. A circle with center the origin is drawn with
a compass, intersecting the x and y axes as shown.
Between what two integers is d in value?____ ____
Approximate d, to the nearest tenth. ____
0
CC Geometry H
d
1
2
3. Combine like terms.
a) 1.5x + 2x + 3x = ____________
b) 1.5x + 2y + 3x = _______________
c) 3xy + 5y + 4x = ____________
d) 4x + 6x - x + x = _____________
2
2
Simplify the radicals.
1.
2.
3.
4. Find the perimeter of the triangle below:
5. The sides of a triangle are
this triangle.
,
, and
. Determine the perimeter of
x
6. Simplify, if possible:
a)
b)
c)
d)
e)
f)
g)
h)
i)
j) Write a radical addition or subtraction problem that cannot be simplified, and
explain why it cannot be simplified.
#7-10 Answers in simplest radical form.
7. Determine the area and perimeter of the triangle shown:
8. Determine the area and perimeter of the rectangle below:
9. Determine the area and perimeter of the triangle.
2x
x
10. The area of the rectangle shown is 160 square units. Determine the area and
perimeter of the shaded triangle. Write your answer in simplest radical form
when necessary.
4x
3x
x
4x
Name_____________________
Date _____________________
CC Geometry H
HW #17
1. Simplify. If not possible, write NP.
a)
b)
c)
d)
e)
f)
g)
h)
i)
2. Determine the area and perimeter of the triangle, in simplest radical form.
3. Determine the area of triangle A if the area of the rectangle is 240 square
units.
3x
5x
4x
A
x
4. In simplest radical form, find the perimeter and area of the given triangle
Mixed Review: 1) ΔABC is equilateral with a perimeter of 36, AB ll CD and CD = 4.
Why is ΔABE ~ ΔCDE? Find CE.
B
D
A
C
E
0
2. In rhombus ABCD, diagonals AC and BD intersect at E, ≮BAD = 70 .
Find the measure of
E
a) ≮BAE
b) ≮ABE
c) ≮CDE
d) ≮ADC