Question

When an altitude is drawn to the hypotenuse of a right triangle, the lengths of the segments of the hypotenuse are 16 and 64. What is the length of the altitude?

Answer 1

@jim_thompson5910 hellppp

Answer 2

One sec while I draw it

Answer 3

ok ty

Answer 4

@jim_thompson5910 you almost done?

Answer 5

yes one moment

Answer 6

ok:)

Answer 7

HELP001 do you know the thesis of altitude in case of a right triangle ?

Answer 8

If you draw out the problem, you'll get something like this

Answer 9

no @jhonyy9

Answer 10

you dont have learned it in your schoole ?

Answer 11

So we basically have 2 smaller right triangles (along with a large right triangle)

The smaller right triangle on the left side has legs of h and 16 units. It also has a hypotenuse of y.


So we can say h^2 + 16^2 = y^2

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The smaller right triangle on the right side has legs of h and 64 units. It also has a hypotenuse of x.

So we can also say h^2 + 64^2 = x^2

Answer 12

Finally, the larger right triangle has legs of x and y along with a hypotenuse of 64+16 = 80

So we can say

x^2 + y^2 = 80^2

Answer 13

So we now have 3 non-linear equations with 3 unknowns


h^2 + 16^2 = y^2
h^2 + 64^2 = x^2
x^2 + y^2 = 80^2

Answer 14

so the anwser is 16? :) @jim_thompson5910

Answer 15

8

4

32

16


theses are the possible anwsers!

Answer 16

no, let's find solve for h



x^2 + y^2 = 80^2
(h^2 + 64^2 ) + y^2 = 80^2
(h^2 + 64^2 ) + (h^2 + 16^2) = 80^2
2h^2 + 64^2+16^2 = 80^2
2h^2 + 4096 + 256 = 6400


I'll let you finish and solve for h

Answer 17

Let me know if you get stuck

Answer 18

@jim_thompson5910 you dont like explain inthis case the thesis of altitude inside a right triangle --- please !

i think is more easy understanding how we need solveing this exersice

Answer 19

i got 32 @jim_thompson5910

Answer 20

you got it HELP001, nice work

Answer 21

jhonyy9 I'm not sure what you're saying

Answer 22

ok look please the thesis of altitude inside a right triangle say that the length squared of altitude from the right angle on hypothenuse is equal with the product of this two segments of hypothenuse

Answer 23

like in this case

h^2 =16*64
h^2=4^2 *8^2
h=4*8
h=32

i think this is more easy in this way

Answer 24

maybe but you have to know the formula to get that

Answer 25

so i guess it depends

Answer 26

yes is right but this is a thesis what i have learned in my schoole

Answer 27

HELP001 how you think it ,you dont learned again ?