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Find the length of the missing side.

Find the length of the missing side.-example-1
User Peguy
by
8.2k points

2 Answers

3 votes

Answer:

If leg a is the missing side, then transform the equation to the form where a is on one side and take a square root: a = √(c² - b²)

If leg b is unknown, then: b = √(c² - a²)

For hypotenuse c missing, the formula is: c = √(a² + b²)

Explanation:

User Chyna
by
8.3k points
4 votes

Answer:


\huge\boxed{\sf P= 9 \ in. }

Explanation:

Given is a right-angled triangle.

So, we can use Pythagorean Theorem to find the missing length.

It is:


(Hypotenuse)^2=(Base)^2+(Perpendicular)^2

Here,

Hypotenuse = 41 in.

Base = 40 in.

Perpendicular = P

So, the above equation becomes:


(41)^2=(40)^2+P^2\\\\1681 = 1600 + P^2\\\\Subtract \ 1600 \ from \ both \ sides\\\\1681-1600=P^2\\\\81 = P^2\\\\Take \ square \ root \ on \ both \ sides\\\\√(81) = √(P^2) \\\\P= 9 \ in. \\\\\rule[225]{225}{2}

User Sourabh Bans
by
8.6k points

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