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Hi, my name is Rathan and I am in a serious pickle! I need to the distance from my house to the library but I only know the distance from my house to the library and the distance from my library to the school and that the triangle is a right triangle. Oh what shall I do?!!

Rathan's Home

School

Library

5 mi

12 mi

???

Library

School

a=5 mi

b=12 mi

Wait! We can use the Pythagoreantheorem that I learned in school to figure this out. The Pythagorean theorem states that in a right triangle, "c^2, the longest side, =a^2+b^2, the other two sides of the triangle(order does not matter for a and b). So, now we can subsitute 5 and 12 as and b in the equation and solve for the answer because we know that c is the distance we are trying to find as it is the longest length of the triangle.

c=???

School

Library

Rathan's Home

Rathan's Home

a=5 mi

b=12 mi

c=13mi

After we substitutewe get c^2=5^2+12^2. We simplify the 5^2 and 12^2 to get c^2=25+144.

Then we add, to get c^2=169. Finally, we have to square root on both sides to get rid of the exponent of 2 which leaves us with c=sqrt(169) which is 13. Now we can go to the library!!!

Create your own at Storyboard That

Hi, my name is Rathan and I am in a serious pickle! I need to the distance from my house to the library but I only know the distance from my house to the library and the distance from my library to the school and that the triangle is a right triangle. Oh what shall I do?!!

Rathan's Home

School

Library

5 mi

12 mi

???

Library

School

a=5 mi

b=12 mi

Wait! We can use the Pythagoreantheorem that I learned in school to figure this out. The Pythagorean theorem states that in a right triangle, "c^2, the longest side, =a^2+b^2, the other two sides of the triangle(order does not matter for a and b). So, now we can subsitute 5 and 12 as and b in the equation and solve for the answer because we know that c is the distance we are trying to find as it is the longest length of the triangle.

c=???

School

Library

Rathan's Home

Rathan's Home

a=5 mi

b=12 mi

c=13mi

After we substitutewe get c^2=5^2+12^2. We simplify the 5^2 and 12^2 to get c^2=25+144.

Then we add, to get c^2=169. Finally, we have to square root on both sides to get rid of the exponent of 2 which leaves us with c=sqrt(169) which is 13. Now we can go to the library!!!

Create your own at Storyboard That

Hi, my name is Rathan and I am in a serious pickle! I need to the distance from my house to the library but I only know the distance from my house to the library and the distance from my library to the school and that the triangle is a right triangle. Oh what shall I do?!!

Rathan's Home

School

Library

5 mi

12 mi

???

Library

School

a=5 mi

b=12 mi

Wait! We can use the Pythagoreantheorem that I learned in school to figure this out. The Pythagorean theorem states that in a right triangle, "c^2, the longest side, =a^2+b^2, the other two sides of the triangle(order does not matter for a and b). So, now we can subsitute 5 and 12 as and b in the equation and solve for the answer because we know that c is the distance we are trying to find as it is the longest length of the triangle.

c=???

School

Library

Rathan's Home

Rathan's Home

a=5 mi

b=12 mi

c=13mi

After we substitutewe get c^2=5^2+12^2. We simplify the 5^2 and 12^2 to get c^2=25+144.

Then we add, to get c^2=169. Finally, we have to square root on both sides to get rid of the exponent of 2 which leaves us with c=sqrt(169) which is 13. Now we can go to the library!!!

Create your own at Storyboard That

Hi, my name is Rathan and I am in a serious pickle! I need to the distance from my house to the library but I only know the distance from my house to the library and the distance from my library to the school and that the triangle is a right triangle. Oh what shall I do?!!

Rathan's Home

School

Library

5 mi

12 mi

???

Library

School

a=5 mi

b=12 mi

Wait! We can use the Pythagoreantheorem that I learned in school to figure this out. The Pythagorean theorem states that in a right triangle, "c^2, the longest side, =a^2+b^2, the other two sides of the triangle(order does not matter for a and b). So, now we can subsitute 5 and 12 as and b in the equation and solve for the answer because we know that c is the distance we are trying to find as it is the longest length of the triangle.

c=???

School

Library

Rathan's Home

Rathan's Home

a=5 mi

b=12 mi

c=13mi

After we substitutewe get c^2=5^2+12^2. We simplify the 5^2 and 12^2 to get c^2=25+144.

Then we add, to get c^2=169. Finally, we have to square root on both sides to get rid of the exponent of 2 which leaves us with c=sqrt(169) which is 13. Now we can go to the library!!!

Create your own at Storyboard That

Hi, my name is Rathan and I am in a serious pickle! I need to the distance from my house to the library but I only know the distance from my house to the library and the distance from my library to the school and that the triangle is a right triangle. Oh what shall I do?!!

Rathan's Home

School

Library

5 mi

12 mi

???

Library

School

a=5 mi

b=12 mi

Wait! We can use the Pythagoreantheorem that I learned in school to figure this out. The Pythagorean theorem states that in a right triangle, "c^2, the longest side, =a^2+b^2, the other two sides of the triangle(order does not matter for a and b). So, now we can subsitute 5 and 12 as and b in the equation and solve for the answer because we know that c is the distance we are trying to find as it is the longest length of the triangle.

c=???

School

Library

Rathan's Home

Rathan's Home

a=5 mi

b=12 mi

c=13mi

After we substitutewe get c^2=5^2+12^2. We simplify the 5^2 and 12^2 to get c^2=25+144.

Then we add, to get c^2=169. Finally, we have to square root on both sides to get rid of the exponent of 2 which leaves us with c=sqrt(169) which is 13. Now we can go to the library!!!

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Tekst Storyboardowy

  • Hi, my name is Rathan and I am in a serious pickle! I need to the distance from my house to the library but I only know the distance from my house to the library and the distance from my library to the school and that the triangle is a right triangle. Oh what shall I do?!!
  • Rathan's Home
  • 5 mi
  • ???
  • School
  • 12 mi
  • Library
  • Wait! We can use the Pythagorean theorem that I learned in school to figure this out. The Pythagorean theorem states that in a right triangle, "c^2, the longest side, =a^2+b^2, the other two sides of the triangle(order does not matter for a and b). So, now we can subsitute 5 and 12 as and b in the equation and solve for the answer because we know that c is the distance we are trying to find as it is the longest length of the triangle.
  • Rathan's Home
  • a=5 mi
  • c=???
  • School
  • b=12 mi
  • Library
  • After we substitute we get c^2=5^2+12^2. We simplify the 5^2 and 12^2 to get c^2=25+144.Then we add, to get c^2=169. Finally, we have to square root on both sides to get rid of the exponent of 2 which leaves us with c=sqrt(169) which is 13. Now we can go to the library!!!
  • Rathan's Home
  • a=5 mi
  • c=13mi
  • b=12 mi
  • School
  • Library
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