Pythagorean Therom! Help Needed!?

We know two side lengths of the triangle. To find the unknown third side, use the Pythagorean Theorem.

Pythagorean Theorem: a²+b² = c²

a² + b² = c²

(5)² +(12)² = c²

25+144 = c²

169 = c²

√(c²) = √(169)

c = 13 cm

We just solved for the missing side, the hypotenuse (one side of the square according to the problem). A square always has equal sides; therefore, all of the other sides lengths must be 13:

Area of Square = l·w, where l is the length and w is the width

A = l·w

A = (13)(13)

A = 169 cm²

Solution: A = 169 cm²

A² + B² = C²

5² + 12² = C²

25 + 144 = 169

C² = 169

C = 13

The hypotenuse is 13.

Area of a square = Length x Width

Area = 13 x 13

Area = 13²

Area = 169

first you need to find the hypotenuse using a^2+b^2=c^2. substitute a and b with 5 and 12. 5^2+12^2=c^2.

25+144=c^2.

169=c^2

c=square root of 169

c=13

The hypotenuse is the same as one side of the square. To area of a square is l^2. So the area of the square is:

A=13 times 13

A=169

Okay. The side of the square would be the hypotenuse, so just use the Pythagorean Theorem:

a² + b² = c²

5² + 12² = c²

c² = 169

c = 13

This means that one side of the square is 13.

Now:

Area of Square = Side²

= 13²

= 169 units²

The length of the hypotenuse is sqrt(5^2+12^2)=sqrt(25+144)=sqrt(169)=13.

Hence, the area is 13*13=169

It's really annoying when people don't try to solve simple problems...

The hypotenuse length is SQRT(5^2+12^2), so the area of the square is 5^2+12^2=169.

(Hypotenuse)² = (5)² + (12)²

Area of Square = (Hypotenuse)² = (5)² + (12)² = 169

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bonus points for drawing the triangle? ;)

anyway... the longest side (the one opposite the 90 degree angle) is the hypotenuse

the Pythagorean theorem states: a^2+b^2=c^2

where c is the hypotenuse.

so for your triangle we know a and b are 5 and 12

so plug those in: 5^2+12^2=c^2

25+144=c^2

169+c^2

so c is the square root of 169, but since we want the area of the square with c as one side, we want c^2 anyways, so the answer is 169cm^2 :)

Hypotenuse=(25+144)^1/2=13 cm

side=13cm

area=169cm^2

God bless you.

(a squared plus b squared equals c squared ) a2 +b2 = c2 9*9 + 12*12 = c2 c2= 225 then find the square route of 225 which is 15 so thats your answer for the first one. just sub in the numbers for the second into that equation