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Someone please help me answer this

Someone please help me answer this-example-1

2 Answers

1 vote

Answer:

57 mm

Explanation:

To solve for a, we can use the Pythagorean Theorem.

a² + b² = c²

We have to solve for a, and we are given values for b and c, c being the hypotenuse.

This is what we know-

a² + 76² = 95²

We can simplify this to-

a² + 5776 = 9025

To solve for a, we have to isolate the variable on on side of the equals sign. So, we can subtract 5776 from both sides.

a² + 5776 - 5776 = 9025 - 5776

Simplify.

a² = 3249

Finally, to solve for a, find the square root of a².


\sqrt{3249^(2) = 57

So, a = 57 mm

I hope this is helpful :) Good luck ^^

User Forsvarir
by
8.8k points
6 votes

Answer:

a = 57 mm is the answer.

Explanation:

a = ?

b = 76 mm

c = 95 mm

According to the Pythagoras theorem,

a² + b² = c²

a² + 76² = 95²

a² + 5776 = 9025

a² = 9025 - 5776

a² = 3249

a = 57 mm

∴ a = 57 mm is the length of the missing leg.

User Arman Feyzi
by
9.0k points

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