Radicals
Geometric Mean
Finding the variable 1
Finding the variable 2
Word Problems
100
sqrt(72)
6sqrt2
100
Find the geometric mean between 12 and 9.
6sqrt3
100
3sqrt13
100
Triangle ABC is an isosceles right triangle whose hypotenuse is AC. If BC=
3sqrt2
, then AC=? and AB=?
AC=6, AB=
3sqrt2
100
Tell whether a triangle with the given sides is acute, right, or obtuse:
13, sqrt34, 3
obtuse
200
4/(sqrt(3))
200
Find the geometric mean between
1/2 and 1/18
1/6
200
5
200
If k=3, then what are the values of j and t?
j=sqrt3 and t=2sqrt3
200
Find the length of a side of a square with diagonal of length
5sqrt2
5
300
(3sqrt2)(4sqrt3)
12sqrt6
300
Write a proportion to find SQ.
4/(SQ)=(SQ)/16
300
x=3sqrt7 and y=12 and z=4sqrt7
300
x=(5sqrt2)/2
300
In regular hexagon ABCDEF, AB=8. Find AD and AC.
AD=16 and AC=
8sqrt3
400
(sqrt(90))(sqrt(70))
30sqrt7
400
Find ST.
4sqrt5
400
x=9, y=15, z=20
400
x=10
400
Angelica took a shortcut by walking along the diagonal of a 30m by 16m rectangular field. How much farther would she have had to walk if she had walked along the edges of the field?
12 meters
500
(2sqrt14)/sqrt28
sqrt2
500
In the figure what does
a^2=? and b^2=?
a^2=cd and b^2=ce
500
12
500
The sides of a triangle have lengths 8, 15, and n. Specify those values of n for which the triangle is obtuse with longest side n.
17<n<23
500
In quadrilateral QRST, the measure of angle R is 60, the measure of angle T is 90, the length of QR is equal to the length of RS, the length of ST is 8 and the length of TQ is 8. How long is the longer diagonal of the quadrilateral?
4sqrt2+4sqrt6