We can use the Pythagorean theorem to solve for the perimeter of the kite.
a² + b² = c²
3² + 4² = UV²
9 + 16 = UV²
25 = UV²
√25 = √UV²
5 = UV
In the kite, adjacent sides are the same so UV = VW
3² + 9² = UX²
9 + 81 = UX²
90 = UX²
√90 = √UX²
9.49 ≈ UX or 3√10 ≈ UX
Now, add to find the perimeter.
5 + 5 + 9.49 + 9.49 or 5 + 5 + 3√10 + 3√10
28.98 or 10 + 6√10
Therefore, the perimeter is approximately 28.98 or 10 + 6√10
Best of Luck!
Answer:
x = - 10 ± 
Step-by-step explanation:
y = (x + 10)² , or
(x + 10)² = y ( take square root of both sides )
x + 10 = ±
( subtract 10 from both sides )
x = - 10 ± 
The triangle is obtuse because 11 cm > 100
Basically
Other side + other side > longest side
In this case…
6 + 5 = 11 is greater than the longest side which is 10, so it would be obtuse
Hope this helps!!