# geometry

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The altitude upon the hypotenuse of a right triangle divides the hypotnuse into segments of 3 and 12. find the length of the altitude

• geometry -

let that altitude be x

Can you see how that altitude splits your right-angled triangle into two smaller right-angled triangles which are similar?
so you can set up the ratio
12/x= x/3
x^2= 36
x = 6

• geometry -

The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.

Triangle ABC, where A is the vertex, CB is the hypotenuse, and AD is the altitude.

AD = altitude, CD = 3, DB = 12

• geometry -

Thanku sooo much!

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