Question

Find the length of the length of the altitude drawn to the hypotenuse. The traingle is not drawn to scale

Answer 1

is that the only given to the problem?

Answer 2

yes

Answer 3

is it not stated that the triangle is 30-60-90?? i can't solved it because of lack of information

Answer 4

owh.. yes.. there is an answer.. sorry

Answer 5

Using pythagoras theorem for the triangle ABC
\(x^2+y^2={31}^2\)
Using pythagoras theorem for the triangle ABD
\(x^2=5^2+z^2\)-(1)
Using pythagoras theorem for the triangle BDC
\(y^2=z^2+{26}^2\)-(2)
Nw add (1) and (2). then u will get
(1)+(2)=>\(x^2+y^2=5^2+z^2+z^2+{26}^2\)
\({31}^2=5^2+z^2+z^2+{26}^2\)
\(961=25+2z^2+676\)
Find z. Can u do?