Question

quadrilateral stuv is a kite. what is sw?
t
u
w
8
s
10
v
sw =
submit

Explanation:

Step1: Recall kite diagonal properties

In a kite, one diagonal is perpendicular to the other, and the diagonal connecting the vertices of the non-congruent sides is bisected. Here, $\triangle SWV$ is a right triangle with right angle at $W$, $SV=10$, $WV=8$.

Step2: Apply Pythagorean theorem

For right triangle $\triangle SWV$, $SW^2 + WV^2 = SV^2$. Substitute known values:
$SW^2 + 8^2 = 10^2$

Step3: Solve for $SW$

Calculate squares: $SW^2 + 64 = 100$
Isolate $SW^2$: $SW^2 = 100 - 64 = 36$
Take square root: $SW = \sqrt{36} = 6$

Answer:

$6$