SOLUTION: A triangle has sides of
lengths 4, 5, and 6.
Find the length of altitude to
the side of length 6.
Algebra.Com
Question 1071473: A triangle has sides of
lengths 4, 5, and 6.
Find the length of altitude to
the side of length 6.
Answer by josgarithmetic(39614) (Show Source): You can put this solution on YOUR website!
The 6 unit side on the bottom, horizontally
Drawn altitude;
Left right triangle altitude y, hyptoenuse 5, leg 6-x;
Right right triangle, altitude y, hypotenuse 4, leg x;
Left and Right triangles give
Finding y^2 from both equations and equating:
solving for x gives .
Using x=9/4 in y^2+x^2=16,
.
.
.
-------the altitude.
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