what is the length of the missing side?
45
(triangle) ?
53
a ) 16 mm
b ) 28 mm
c ) 42 mm
d ) 69.5 mm
To find the missing side of the triangle, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse).
In this case, we have the following:
Shorter side 1 = 45 mm
Shorter side 2 = ?
Hypotenuse = 53 mm
Using the Pythagorean theorem,
45^2 + ?^2 = 53^2
2025 + ?^2 = 2809
?^2 = 2809 - 2025
?^2 = 784
Taking the square root of both sides,
? = √784
? = 28
Therefore, the length of the missing side is 28 mm.
The correct option is:
b) 28 mm