Respuesta :

owensmith6
For this problem, we only need to look at ΔABD. We can easily find 's' using the Pythagorean theorm: [tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]s^{2} = 8^{2} + 15^{2}[/tex]
[tex]s^{2} = 64 + 225[/tex]
[tex]s = \sqrt{289} [/tex]
[tex]s = 17[/tex]

I hope this helps! Let me know if you have any further questions.

aksnkj

Triangle ABD is a right-angled triangle. The value of s which is the hypotenuse of the triangle ABD is 17 units.

Given information:

From the given figure, the following information can be extracted:

  • Triangle ABD is a right-angled triangle.
  • Base AB is 8 units, Height BD is 15 units.
  • s is the hypotenuse of the triangle ABD.

Use the Pythagoras theorem to solve for the value of s or AD.

[tex]AD^2=AB^2+BD^2\\s^2=8^2+15^2\\s^2=64+225\\S^2=289\\s=\sqrt{289}\\s=17[/tex]

Therefore, the value of s which is the hypotenuse of the triangle ABD is 17 units.

For more details, refer to the link:

https://brainly.com/question/15138986

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