Question

note: triangle may not be drawn to scale. suppose a = 5 find exact values for the other sides. b = c =

Explanation:

Step1: Identify Triangle Type

This is a right - isosceles triangle (two 45° angles, one right angle), so legs \(a = b\). Given \(a = 5\), so \(b=5\).

Step2: Calculate Hypotenuse \(c\)

Use Pythagorean theorem \(c=\sqrt{a^{2}+b^{2}}\). Substitute \(a = 5\), \(b = 5\):
\(c=\sqrt{5^{2}+5^{2}}=\sqrt{25 + 25}=\sqrt{50}=5\sqrt{2}\).

Answer:

\(b = 5\)
\(c = 5\sqrt{2}\)