What are the values of x and y?
∆ABD : AB = 17, AD = 15
∆BCD : BD = 8 , BC = x
Without more information, we cannot find the exact values of x and y. However, we can use the Pythagorean theorem to find a relationship between x and y.
In triangle ABD, using the Pythagorean theorem, we have:
BD^2 = AB^2 - AD^2
8^2 = 17^2 - 15^2
64 = 289 - 225
64 = 64
This confirms that triangle ABD is valid.
Similarly in triangle BCD, using the Pythagorean theorem, we have:
BD^2 = BC^2 - CD^2
8^2 = x^2 - y^2
We cannot solve for x and y without more information, as we have one equation with two unknown variables.
Who said it was a right triangle?
You are leaving information out no.