The complete question is:
Trapezoid JKLM is shown below.
What is the length, in centimeters, of KL ?
A. 12 cm
B. 10 cm
C. 9 cm
D. 6 cm
The mentioned figure is attached.
Answer:
[tex]\large\boxed{option\text{ B. }(\overline{KL})=10cm}[/tex]
Explanation:
1. KL is the hypotenuse of a right triangle; hence, you can use Pythagora's theorem to find its length.
2. The height 8 cm is one leg of the right triangle.
3. The other leg may be found by difference:
[tex]\overline{ML} -\overline{JK}=15cm-9cm=6cm[/tex]
4. Now you can use Pythagora's theorem:
[tex]hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ (\overline{KL})^2=(8cm)^2+(6cm)^2\\ \\ (\overline{KL})^2=64cm^2+36cm^2=100cm^2\\ \\ (\overline{KL})=10cm[/tex]
