Question

Triangle ABC is congruent to triangle DEF. In triangle ABC, side AB measures 13, side BC measures x+13, and side CA measures 16. In triangle DEF, side DE measures 13, side EF measures 3x−20, and side FD measures 16. What equation would help you to solve for the side length of BC and EF? Explain your reasoning using complete sentences.

Answer 1

plz help

Answer 2

@ganeshie8

Answer 3

@e.mccormick

Answer 4

@abb0t

Answer 5

can someone plz help me???!!!

Answer 6

@mathstudent55

Answer 7

plz Help!!

Answer 8

@amistre64

Answer 9

ABC
DEF

triangles are given congruent - what does that tell you about the corresponding sides ?

Answer 10

they are congruent?

Answer 11

yes all the corresponding angle pairs will be congruent :
AB = DE
BC = EF
CA = FD

Answer 12

ok but how do we do the equations?

Answer 13

do i make them equal to each other and solve for x?

Answer 14

Exactly !

Answer 15

wait!

Answer 16

so is it 42 + x = 3x + 9?

Answer 17

is it 16.5?

Answer 18

you may simply use one side :
BC = EF

Answer 19

??

Answer 20

BC = EF
x+13 = 3x-20

Answer 21

gives you x = 16.5 as well ^

Answer 22

i got 16.5

Answer 23

so is that the answer?

Answer 24

what else do i write?

Answer 25

i also have another question

Answer 26

write as much as you can - discuss more about congruent triangles and sides being equal..

Answer 27

can i ask another one?

Answer 28

yea sure, pelase ask it in another post

Answer 29

Prove the Converse of the Pythagorean Theorem. The Converse of the Pythagorean Theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squared length of the hypotenuse, the triangle is a right triangle. Be sure to create and name the appropriate geometric figures.