find the length of the third side. if necessary, round to the nearest tenth. answer attempt 1 out of 2…
find the length of the third side. if necessary, round to the nearest tenth. answer attempt 1 out of 2 submit answer
Answer
Explanation:
Step1: Identify the theorem
Use the Pythagorean theorem $a^{2}+b^{2}=c^{2}$ for a right - triangle, where $c$ is the hypotenuse and $a,b$ are the legs. Here, the two given sides are legs.
Step2: Substitute values
Let $a = 15$ and $b = 20$. Then $c^{2}=15^{2}+20^{2}$. Calculate $15^{2}=225$ and $20^{2}=400$. So $c^{2}=225 + 400=625$.
Step3: Solve for $c$
Take the square root of both sides. $c=\sqrt{625}=25$.
Answer:
25