what is the perimeter? if necessary, round to the nearest tenth. centimeters submit

Question

Accepted Answer

# Explanation:
## Step1: Find the length of side $a$ using Pythagorean theorem
For a right - triangle with hypotenuse $c = 7.5$ cm and one leg $b=6.3$ cm, by the Pythagorean theorem $a=\sqrt{c^{2}-b^{2}}$.
$$
\begin{align*}
a&=\sqrt{7.5^{2}-6.3^{2}}\
&=\sqrt{(7.5 + 6.3)(7.5-6.3)}\
&=\sqrt{13.8\times1.2}\
&=\sqrt{16.56}\
&\approx4.1
\end{align*}
$$
## Step2: Calculate the perimeter $P$ of the triangle
The perimeter of a triangle $P=a + b + c$. Substitute $a\approx4.1$ cm, $b = 6.3$ cm, and $c = 7.5$ cm.
$$
\begin{align*}
P&=4.1+6.3 + 7.5\
&=17.9
\end{align*}
$$

# Answer:
$17.9$

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QUESTION IMAGE

Question

Explanation:

Step1: Find the length of side \(a\) using Pythagorean theorem

Step2: Calculate the perimeter \(P\) of the triangle

Answer: