Using the Pythagorean Theorem, the values of x are given as follows:
What is the Pythagorean Theorem?
The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
Hence, in the first triangle:
x² + 35² = 37²
x² = 37² - 35²
x² = 144
x = sqrt(144)
x = 12.
On the second triangle, we have two right triangles, hence:
x = a + b.
a² + 8² = 10²
a² = 36
a = sqrt(36)
a = 6.
b² + 8² = 17²
b² = 225
b = sqrt(225)
b = 15.
Hence the value of x is given as follows:
x = a + b = 6 + 15 = 21.
More can be learned about the Pythagorean Theorem at https://brainly.com/question/343682
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