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finlep [7]
3 years ago
7

Find the length of the missing side

Mathematics
2 answers:
serg [7]3 years ago
7 0

Use the Pythagorean theorem:

x^2+24^2=25^2\\\\x^2+576=625\ \ \ \ |-576\\\\x^2=49\to x=\sqrt{49}\to\boxed{x=7}

OLga [1]3 years ago
4 0

a^2+b^2=c^2

a^2+24^2=25^2

a^2+576=625

a^2=49

a=7

The answer is 7.

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Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define the converse of a statement

The converse of a statement is formed by switching the hypothesis and the conclusion.

STEP 2: break down the given statements

Hypothesis: If M is the midpoint of line segment PQ,

Conclusion: line segment PM is congruent to line segment QM

STEP 3: Switch the two statements

Hence, the answer is given as:

If line segment PM is congruent to line segment QM, then M is the midpoint of line segment PQ,

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