6.6—Special Right Triangles
6.6 Day 1 Warm-up
Find the missing side of each triangle. Leave your answers in simplest radical form.
1.
2.
3.
6.6—Special Right Triangles Day 1
Objective: Find the _________ lengths of ____________ right
_______________.
6.6—Special Right Triangles Day 1
Agile Mind 15
Objective: Find the _________ lengths of ____________ right _______________.
Ov 2
Ex 1.
Ex 2.
45°-45°-90° Triangle Theorem
In a 45°-45°-90° triangle, the hypotenuse is
__________ times as long as each _________.
Ex 3.
Ex 4.
Ex 5.
Examples:
Find the value of each variable.
6.6—Special Right Triangles
6.6 Day 2 Warm-up
Find the missing side of each triangle. Leave your answers in simplest radical form.
1.
2.
3.
𝑦
5 3
4.
5.
5
6.
𝑦
18 2
22
5𝑥 3
11
6.6—Special Right Triangles
6.6 Day 2 Warm-up
Find the missing side of each triangle. Leave your answers in simplest radical form.
1.
2.
5
7 2
3.
y
y
10
4.
5.
6
4
6
12
6.6—Special Right Triangles Day 2
Agile Mind 15
6a.
6b.
30°-60°-90° Triangle Theorem
In a 30°-60°-90° triangle, the
hypotenuse is _________ as long
as the _________ leg, and the
longer leg is ___________ times
as long as the shorter leg.
8.
9.
Examples:
Find the value of each variable.
1.
2.
3.
4.
5.
6.
Sketch the figure that is described. Find the requested length.
7. The perimeter of an equilateral triangle is 21ft. Find the length of an
altitude of the triangle.
8. The area of a square is 64 cm2. Find the length of a diagonal.
Find the area of the figure.
9.
10.
11.