Answer:
31.76 in.
Step-by-step explanation:
The problem states that the triangle is a right triangle, meaning, one of its internal angles measures 90° (see the attached image).
Since it's a right triangle, the Pythagorean's theorem can be used to find the third side, where a=28 inches and b=15 inches.
The Pythagorean's Theorem states:
[tex]c^{2} = a^{2} +b^{2}[/tex]
Changing a and b in the above formula for it's respective values, we have:
[tex]c^{2} = 28^{2} +15^{2}[/tex]
[tex]c^{2} = 784 + 225[/tex]
[tex]c=\sqrt{784+225}[/tex]
c=31.76
