Unit 4 Triangle Congruence
4.7 Homework pg. 23
1. Heike Dreschler set the Woman's World Junior Record for the
long jump in 1983. She jumped about 23.4 feet. The diagram
shows two triangles and a pond. Explain whether Heike
could have jumped the pond along path BA or along
path Ca.
D
20 ft
E

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus