A right triangle is created by the ladder and the wall.
The Pythagorean Theorem can be used to find the missing length.
a² + b² = c² {the Pythagorean Theorem}
a and b are the legs and c is the hypotenuse
a² + 8² = 10² {substituted given values into the Pythagorean Theorem}
a² + 64 = 100 {evaluated exponents}
a² = 36 {subtracted 64 from each side}
a = 6 {took the square root of each side}
the ladder is 6 ft from the base of the wall
H.) 6
- Algebra House
The Pythagorean Theorem can be used to find the missing length.
a² + b² = c² {the Pythagorean Theorem}
a and b are the legs and c is the hypotenuse
a² + 8² = 10² {substituted given values into the Pythagorean Theorem}
a² + 64 = 100 {evaluated exponents}
a² = 36 {subtracted 64 from each side}
a = 6 {took the square root of each side}
the ladder is 6 ft from the base of the wall
H.) 6
- Algebra House
