In a right triangle, $$ a $$ and $$ b $$ are the lengths of the legs and $$ c $$ is the length of the hypotenuse. If $$ a=2.9 $$ units and $$ b=0.7 $$ units, what is the perimeter? If necessary, round your answer to the nearest tenth. units

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Let the lengths of the legs be $$ a = 2.9 $$ and $$ b = 0.7 $$. The hypotenuse $$ c $$ is given by the Pythagorean theorem:

$$
c = \sqrt{a^2 + b^2}
$$

1. Compute $$ a^2 $$ and $$ b^2 $$:

$$
a^2 = (2.9)^2 = 8.41,\qquad b^2 = (0.7)^2 = 0.49
$$

2. Find $$ c $$:

$$
c = \sqrt{8.41 + 0.49} = \sqrt{8.9} \approx 2.983
$$

3. Compute the perimeter $$ P $$:

$$
P = a + b + c = 2.9 + 0.7 + 2.983 \approx 6.583
$$

4. Round to the nearest tenth:

$$
P \approx 6.6 \text{ units}
$$
The perimeter of the triangle is approximately 6.6 units.

In a right triangle, and are the lengths of the legs and is the length of the hypotenuse.
If units and units, what is the perimeter? If necessary, round your answer to
the nearest tenth.
units

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In a right triangle, and are the lengths of the legs and is the length of the hypotenuse. If units and units, what is the perimeter? If necessary, round your answer to the nearest tenth. units