Transcript PowerPoint #2 to review for 9A Quiz

Altitude-on-hypotenuse
Find the value of x
x = 4√3
4√3
x + 10
10
x
4√3
x2 + 10x = 16•3
x2 + 10x – 48 = 0
(x – 4)(x + 12) = 0
x = 4 x = -12
Find the value of x
j = 6
6
j+9
j2 + 9x = 36
x2 = 27
j2 + 9x – 36 = 0 x = 3√3
(j – 3)(j + 12) = 0
j = 3 j = -12
9
x
6
3 =
x
j
x
9
Find the value of x
x
4√3
5√3
4√3 = x
x
5√3
x2 = 20•3
x2 = 60
x = 2√15
Find the value of x
3
12
x
12 =
x
x2 = 180
x = 6√5
x
15
Find the value of x
x + 8 = 4√5
4√5
8
x
8x + 64 = 16•5
8x + 64 = 80
8x = 16
x=2
8
4√5
Pythagorean Thm and Converse
Find the value of x
x
10
4√3
102 + (4√3) 2 = x2
100 + 16•3 = x2
x2 = 148
x = 2√37
Find the value of x
26
10
x
102 + x 2 = 262
100 + x2 =676
x2 = 576
x = 24
Do the following sides lengths form
an acute, right, or obtuse triangle?
25, 24, 7
72 + 242 ? 252
49 + 576 = 625
right
Do the following sides lengths form
an acute, right, or obtuse triangle?
12, 13, 15
122 + 132 ? 152
144 + 169 > 225
acute
Do the following sides lengths form
an acute, right, or obtuse triangle?
32, 35, 64
322 + 352 ? 642
1024 + 1225 < 4096
obtuse
Radicals
Simplify the radical expression.
√200 + √50 + 3 √8
10 √2 + 5 √2 + 3•2 √2
10 √2 + 5 √2 + 6 √2
21 √2
Simplify the radical expression.
4√12 + 5√72 + 8√147
4•2 √3 + 5•6 √2 + 8•7 √3
8√3 + 30√2 + 56√3
30√2 + 64√3
Simplify the radical expression.
8 √6 •3 √2
10
24•3 √2 = 72 √2
10
10
= 36 √2
5
Simplify the radical expression.
√200
5 √3
10 √2 • √3
5 √3 • √3
2 √6 = 2 √6
5•3
15
Simplify the radical expression.
6√5
9√3
2√5 • √3 2√15 = 2 √15
3√3 • √3 3•3
9