Respuesta :

Answer:

x = 12

Step-by-step explanation:

The height is given by measuring the exact middle, which means 10/2 gives the opposite side of the triangle, we then use pythagoras's theorem, 13^2 - 5^2 = x^2

169 - 25 = x^2

144 = x^2

x = sqrt of 144

x = 12

Answer:

x = 12

Step-by-step explanation:

First, we split that triangle to make a scalene, right triangle, then we can use the pythagorean theorem. So now we have three sides; the legs are x and 5 units, and the hypotenuse is 13 units.

Pythagorean theorem: a² + b² = c²

Substitute: 5² + x² = 13²

Simplify: 25 + x² = 169

Subtract: x² = 144

Simplify: x = 12 (-12 doesn't work, lengths must be positive)

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