Discovering Trig – 8.1 Name: Per: ____ Hypotenuse Segment AE

Discovering Trig – 8.1
Name: _________________ Per: ____
A) Look at the three triangles below. Label the “opposite” side, the “adjacent” side and the “hypotenuse” of
each one.
B) Calculate the missing angle measures of each triangle and complete the chart. Use a ruler, and measure to
the nearest tenth of a centimeter, all three sides of the right triangles. Use the chart below to record your data
for each triangle.
Side of Triangle
∆𝑬𝑨𝑫
∆𝑭𝑨𝑪
∆𝑮𝑨𝑩
Hypotenuse
Segment AE ≈
Segment AF ≈
Segment AG ≈
Adjacent
Segment AD ≈
Segment AC ≈
Segment AB ≈
Opposite
Segment DE ≈
Segment CF ≈
Segment BG ≈
C) For each triangle, form ratios using its segment lengths, then write them in decimal form, round to four
decimal places.
Ratio
∆𝑬𝑨𝑫
∆𝑭𝑨𝑪
∆𝑮𝑨𝑩
Opposite
Hypotenuse
𝐷𝐸
≈
𝐴𝐸
𝐶𝐹
≈
𝐴𝐹
𝐵𝐺
≈
𝐴𝐺
Adjacent
Hypotenuse
𝐴𝐷
≈
𝐴𝐸
𝐴𝐶
≈
𝐴𝐹
𝐴𝐵
≈
𝐴𝐺
Opposite
Adjacent
𝐷𝐸
≈
𝐴𝐷
𝐶𝐹
≈
𝐴𝐶
𝐵𝐺
≈
𝐴𝐵
This is called the
________ ratio.
On the
calculator…