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# geometry problem

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32
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Help! I need to find y.

Sep 7, 2020

### 2+0 Answers

#1
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Let the altitude from the 9 and 25 side be x. We have the area of the triangle: 34x/2=17x. By the pythagorean theorem, the side next to the x is $$\sqrt{x^2+81}$$. The area is also $$\frac{\sqrt{x^2+81}*y}{2}$$. So we have $$\frac{\sqrt{x^2+81}*y}{2}=17x\rightarrow y=\frac{34x}{\sqrt{x^2+81}}$$. Note that it is now impossible to find y without knowing x. There has to be more information. y could be anything. Try random values for x, it will generate a random value for y.

Sep 7, 2020
#2
+176
+1

h = sqrt( 9 * 25 )

y / 34 = 25 / y

h = 15

or          y2 = 850

y = sqrt(152 + 252)

y = √850

y = √850

Sep 8, 2020
edited by jugoslav  Sep 8, 2020
edited by jugoslav  Sep 8, 2020
edited by jugoslav  Sep 8, 2020
edited by jugoslav  Sep 8, 2020
edited by jugoslav  Sep 8, 2020
edited by jugoslav  Sep 8, 2020