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Sagot :
Answer:
x = √149
Step-by-step explanation:
Compartmentalize the odd figure into a rectangle (with sides 3 and 7) and a triangle (with sides 10 and x). Now, that you have a triangle, you can use the rectangle underneath to find the bottom side of the triangle--it is 7. The triangle that has been formed is a right triangle, so we can use the Pythagorean Theorem to find x, which is the hypotenuse.
10² + 7² = x²
100 + 49 = x²
149 = x²
√149 = x
Answer:
7√2
Step-by-step explanation:
Remark
Draw another line parallel to 7.
Move to the other end of 3
that makes the vertical leg on the left 10 - 3 = 7
You now have a smaller right triangle.
Equation
a = 7
b = 7
c = x
Solution
x^2 = 7^2 + 7^2
x^2 = 49 + 49
x^2 = 98
x^2 = 7 * 7 *2
sqrt(x^2) = sqrt(7 * 7 * 2)
The rule about square roots is for every pair of factors you can take one out of the square root sign and throw the other one away.
x = 7 sqrt(2)
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