7.4.1 SPECIAL RIGHT TRIANGLES Chapter 7: Right Triangles and Trigonometry.
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7.4.1 SPECIAL RIGHT TRIANGLES Chapter 7: Right Triangles and Trigonometry
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Transcript of 7.4.1 SPECIAL RIGHT TRIANGLES Chapter 7: Right Triangles and Trigonometry.
7.4.1 SPECIAL RIGHT TRIANGLES
Chapter 7: Right Triangles and Trigonometry
45⁰ - 45⁰ - 90⁰ Triangle (Isosceles)
Remember our warm up, half a square:If you know the side length, the hypotenuse is
that number times 2If you know the hypotenuse, divide by 2
x 2
x
x
45⁰
45⁰
90⁰
2
2
2
xx
x
2
2x
Solve for x
766
x
45⁰ x
2
2
x
342
342
12x
45⁰
30⁰ – 60⁰ - 90⁰ Triangle
Equally as important, the 30⁰ – 60⁰ - 90⁰ Triangle has these given ratios.
The best way to solve this is to find the length of the shorter side (across from the 30⁰)
60⁰
30⁰
x2x
3xShort Side
Long SideHypotenuse
Mul
tiply
by
3
Double
Half
D
ivid
e by
3
2
3bymultiply
3
2bymultiply
Solve for x and y
60⁰
30⁰
17y
x 60⁰
30⁰ x
3
y60⁰
30⁰
x
y
6
Homework
p.461 1, 3 – 5, 7 – 18, 23 - 28