Question

Triangle ABC is a right triangle. If AB = 3 and AC= 7, find BC Leave answer in simplest radical form

Answer 1

what do you think you should do first

Answer 2

can you drawing it ?

Answer 3

let A be the right angle, solve for BC, then let B be the right angle, solve for BC a second time, now let C be the right angle, solve for BC the third time. So you have 3 different values of BC cuz any angle can be the right angle

Answer 4

so if AB = 3 and AC = 7 how you find BC ?

Answer 5

do you know the Pythagoras theorem in case of a right triangle what said ?

Answer 6

@caitlinnr14 can you solve it for medal ?

Answer 7

so using this theorem you can writing

AC^2 = AB^2 + BC^2

from this you need calculing BC

than BC^2 = AC^2 - AB^2

BC^2 = 49 -9

BC^2 = 40

BC = sqrt(40)

BC = sqrt(4*10)

BC = 2sqrt10