Question

special right
coloring activity!
date:
directions: find the value of x and y for each special right triangl
hundredth. identify the answers from the back and record the
a
b
x
12
x=
number
16
x=
y=
color
y=

Explanation:

Step1: Identify the type of triangle

This is a \(45 - 45-90\) triangle. In a \(45 - 45-90\) triangle, the legs are equal. So \(x = 12\).

Step2: Use the formula for the hypotenuse

The formula for the hypotenuse \(y\) of a \(45 - 45-90\) triangle is \(y=\text{leg}\times\sqrt{2}\). Given the leg \(= 12\), then \(y = 12\sqrt{2}\approx12\times1.414 = 16.97\).

Answer:

\(x = 12\), \(y\approx16.97\)