Question

name:
date: 1-4-26
per: 7th
unit 8: special right triangles
day 3: special right triangles 45°-45°-90°
find the missing variables.
1.
2.
3.
4.
5.
6.

Explanation:

Problem 1:

Step1: Identify triangle type

It's a 45 - 45 - 90 triangle, so legs are equal. One leg is 9, so \(a = 9\).

Step2: Find hypotenuse \(b\)

Using \(b=\text{leg}\times\sqrt{2}\), so \(b = 9\sqrt{2}\).

Step1: Identify triangle type

45 - 45 - 90 triangle, leg \(e = 5\) (since legs are equal in 45 - 45 - 90).

Step2: Find hypotenuse \(f\)

Using \(f=\text{leg}\times\sqrt{2}\), so \(f = 5\sqrt{2}\).

Step1: Identify triangle type

45 - 45 - 90 triangle, leg \(d = 2\) (legs are equal).

Step2: Find hypotenuse \(c\)

Using \(c=\text{leg}\times\sqrt{2}\), so \(c = 2\sqrt{2}\).

Answer:

\(a = 9\), \(b = 9\sqrt{2}\)

Problem 2: