A right triangle is created by the ladder and the wall.

The Pythagorean Theorem can be used to find the missing length.

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

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- Algebra House