what is the value of X in simplest radical form
X = ____

Answer: x = 25
Step-by-step explanation:
Use the Pythagorean Theorem to find the hypotenuse.
a² + b² = c² where a and b are the sides and c is the hypotenuse
20² + 15² = c²
400 + 225 = c²
625 = c²
[tex]\sqrt{625}=\sqrt{c^2}\\\\\sqrt{\underline{5\cdot5}\cdot \underline{5\cdot5}}=c\\\\5\cdot5 = c\\\\25=c[/tex]
The triangle is a right-angled triangle and x is the hypotenuse of the triangle. The value of x is 25 units.
From the given diagram, it is required to calculate the value of x.
The given triangle is a right-angle triangle. The length of base and height is 20 units and 15 units.
x is the hypotenuse of the triangle.
Use Pythagoras theorem to calculate the value of x,
[tex]x^2=15^2+20^2\\x^2=225+400\\x^=625\\x=\sqrt{625}\\x=25[/tex]
Therefore, the value of x is 25 units.
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https://brainly.com/question/23936129