Respuesta :

subtomex0

Using the Pythagorean theorem which states that;

a²+b²=c²

or

side (1) ²+side (2) ²=hypotenuse²

15²+8²=x²

225+64=x²

289=x²

Take the square root of both sides to get;

x=√289=17

x=17

Nepalieducation

Step-by-step explanation:

[tex] \longmapsto \: hypotenuse(h) = x \\ \longmapsto \: perpendicular(p) = 15cm \\ \longmapsto \: base(b) = 8cm \\ using \: pythagoras \: theorem \\ \hookrightarrow {h}^{2} = {p}^{2} + {b}^{2} \\\hookrightarrow {x}^{2} = ({15cm}^{2} + ({8cm})^{2} \\ x = \sqrt{225 {cm}^{2} + 64 {cm}^{2} } \\ \hookrightarrow \: x = \sqrt{289 {cm}^{2} } \\ \hookrightarrow \: x = 17cm [/tex]

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