Question

Find the perimeter of triangle SOW​

Answer 1

answer is 24

explanation:

this is scalene triangle. to find perimeter of scalene triangle do sum of all sides

Answer 2

Answer:

let's start!! ...

Δ SOW ~ Δ SNO (Theorem 6.7 ⇒if a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse then triangles on both sides of the perpendicular are similar to the whole triangle and to each other)

Taking ratios from the above-mentioned similarity!!

$\frac{SO}{SN} = \frac{OW}{ON}$     (BASIC PROPORTIONALITY THEOREM)

replacing...

$\frac{10}{8} = \frac{OW}{6}$  

$\frac{60}{8} = OW$

.....$7.5 = OW$....

Taking ratios once again!!

$\frac{SO}{SN} = \frac{SW}{SO}$

replacing...

$\frac{10}{8} = \frac{SW}{10}$

$\frac{100}{8} = SW\\ 12.5 = SW$

NOW FINALLY ADDING... SO + SW + OW = 10 + 12.5 + 7.5 = 30 units.

hope it helps you!! ;D