Find the perimeter of $ riangle S O W$.
If entering your answer as a decimal, round your final answer to the nearest hundredth.
units

Question

Find the perimeter of $	riangle S O W$.
If entering your answer as a decimal, round your final answer to the nearest hundredth.
units

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Identify the lengths of the sides of the triangle ΔSWO. ‖ ‖ step 2 ⋮ The lengths are given as SN = 8 units, SO = 10 units, and NO = 6 units. ‖ ‖ step 3 ⋮ To find the perimeter of ΔSWO, add the lengths of the sides SN, SO, and the full length of SW. ‖ ‖ step 4 ⋮ Since NO is a dashed line and there is a right angle where line NO meets line SW, we infer that ΔSNO is a right triangle. ‖ ‖ step 5 ⋮ Use the Pythagorean theorem to find the length of SW: $SW = \sqrt{SN^2 + NW^2} = \sqrt{8^2 + 6^2}$. ‖ ‖ step 6 ⋮ Calculate SW: $SW = \sqrt{64 + 36} = \sqrt{100} = 10$ units. ‖ ‖ step 7 ⋮ Now, add the lengths of SN, SO, and SW to find the perimeter: $Perimeter = SN + SO + SW = 8 + 10 + 10$. ‖ ‖ step 8 ⋮ Calculate the perimeter: $Perimeter = 28$ units. ‖ ∻[1] Answer∻ ⚹ The perimeter of $ΔSOW$ is 28 units. ⚹ ∻Key Concept∻ ⚹Finding the perimeter of a triangle⚹ ∻Explanation∻ ⚹The perimeter of a triangle is the sum of the lengths of its sides. For right triangles, the Pythagorean theorem can be used to find the length of the hypotenuse if the lengths of the other two sides are known.⚹◊What is the relationship between the lengths of the sides in triangle $SOW$?⍭ Generate me a similar question◊

Sia