Sunday

February 1, 2015

February 1, 2015

Posted by **Anonymous** on Saturday, March 5, 2011 at 2:19pm.

- geometry -
**tchrwill**, Sunday, March 6, 2011 at 11:06amA hypotenuse has a ratio of 1:2 with what? the altitude? itself? its area?

Do you mean the ratio of the altitude to the hypotenuse is 1:2? If so, from (x + y) = 2(6) = 12 and xy = 36, we derive y^2 - 12y + 36 = 0 from which y = 6 and x = 6, an isosceles right triangle with sides of 8.4852, hypotenuse of 12, altitude of 6 and area of 36.

Do you mean the segments of the hypotenuse, defined by where the altitude intersects the hypotenuse, are in the ratio of 1:2? If so, with x and y being the segments of the hypotenuse, x/y = 1/2 and xy = 6^2 = 36 from which (y/2)y = 36 making y^2 = 72 or y = 8.485 and x = 4.242 yielding a triangle with sides of 7.148 and 10.392, hypotensue of 12.727, altitude of 6 and area of 38.181.

**Answer this Question**

**Related Questions**

Geometry - The altitude of the hypotenuse of a right triangle divides the ...

Geometry - The altitude to the hypotenuse of a right triangle ABC divides the ...

Geometry- how to write proof - ABC is a right triangle. Angle C is 90 degree. ...

geometry - right triangle ABC with right angle C, AC=22 and BC=6, altitude CD ...

geometry - The altitude upon the hypotenuse of a right triangle divides the ...

Geometry - The length of a hypotenuse of a right triangle is 29 feet. The ...

Math - the altitude, AD, to the hypotenuse BC of right triangle ABC divides the ...

Geometry - If the length of the altitude of the hypotenuse of a right triangle ...

Geometry - I need help in this problem: A 14-foot ladder is leaning against a ...

geometry - triangle GHE GH=10 HE = 17 hypotenuse GE =21 HF is an altitude Find ...