10.2 45-45-90 triangles
Objective: To use the special right triangles to solve real life situations.
Ex. 1 Use the Pythagorean thm to find the exact value of the hypotenuse.
a.
b.
c.
2
5
3
2
5
3
Thm
1) 45-45-90 triangle- In a 45-45-90 triangle the length of the hypotenuse id equal to the leg time
the square root 2
Ex. 2 Find the length of the hypotenuse
a.
b.
x
c.
x
x
45°
45°
4
45°
4
5
Ex. 3 Find the length of the legs in the triangle
a.
b.
2
x
45°
c.
7 2
x
45°
x
14 2
x
45°
x
x
Ex. 4 Show that the triangle is a 45-45-90 triangle then find the value of the variable.
a.
b.
c.
14
2
x
x°
5
y
x°
x
Hwk. P. 545-547 1-27odd 35-53 odd
State Goals Covered
9-11-20
x
45°
x
5