Question

if a = 11, solve for b and c.
o b = 11
c = 22
o b = 11\sqrt{3}
c = 22
o b = 11
c = 11\sqrt{2}
o b = 5.5
c = 11

Explanation:

Step1: Identify the triangle type

The triangle has angles 45 - 45 - 90. In a 45 - 45 - 90 triangle, the legs are congruent. Given $a = 11$, then $b=a = 11$.

Step2: Use the Pythagorean theorem for 45 - 45 - 90 triangle

The ratio of sides in a 45 - 45 - 90 triangle is $a:b:c=1:1:\sqrt{2}$. If $a = 11$ and $b = 11$, then $c=\sqrt{a^{2}+b^{2}}=\sqrt{11^{2}+11^{2}}=\sqrt{121 + 121}=\sqrt{2\times121}=11\sqrt{2}$.

Answer:

b = 11, c = 11$\sqrt{2}$