Find each missing length to the nearest tenth.

*
Captionless Image
5.4
5.3
5

1 answer

Based on the image, it appears to be a right triangle. In a right triangle, the Pythagorean theorem can be used to find the missing length.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's label the missing lengths as a and b.

Using the Pythagorean theorem:

a^2 + 5^2 = 5.3^2
a^2 + 25 = 28.09
a^2 = 28.09 - 25
a^2 = 3.09
a ≈ √3.09
a ≈ 1.8

b^2 + 5.3^2 = 5.4^2
b^2 + 28.09 = 29.16
b^2 = 29.16 - 28.09
b^2 = 1.07
b ≈ √1.07
b ≈ 1.0

Therefore, the missing lengths are approximately 1.8 and 1.0 to the nearest tenth.
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