Question

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.

Answer 1

@dan815

Answer 2

can u please help me?? @dan815

Answer 3

i will give u wild popcorn, give a medal, and became a fan just plz reply to help ASAP @dan815

Answer 4

@mathstudent55 can u plz help me!!!

Answer 5

plz help!

Answer 6

:(

Answer 7

can anyone help me plz!!!
i will give a medal and become ur fan
just plz help!! :(

Answer 8

@goformit100 can u help me plz?!!

Answer 9

I will... Give me a min..

Answer 10

@goformit100

Answer 11

oh ok thank u @Zozogj

Answer 12

EF = BC = a
ÐF is a right angle.
FD = CA = b
triangle
EF = BC = a
angle F is a right angle.
FD = CA = b
In triangle DEF,
By Pythagoras Theorem,
a2 + b2 = c2
the given
AB=c= a^2 + b^2 square root

Theorefore AB = DE
But by construction, BC = EF
and CA = FD
triangle ABC congruent to DEF (S.S.S.)


Do you get this?

Answer 13

what is a?

Answer 14

I'm confused

Answer 15

Ok let me think of another way to write it...

Answer 16

what do a and b stand for?

Answer 17

The legs of the triangle... C is the hypotenuse..

Answer 18

oh ok can u go on

Answer 19

what r ef and bc

Answer 20

@mathstudent55 can u plz help me?

Answer 21

Given: Triangle ABC with \(a^2 + b^2 = c^2\)
Prove: Triangle ABC is a right triangle

Answer 22

can i use that?

Answer 23

Yes. This is the proof of the converse of the Pythagorean theorem.

Answer 24

ok i also need help because I'm not that good with proving i don't understand what u have to put for statements and justifications