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​ACT & SAT PRactice

Ladder up a wall  {ACT}

1/16/2014

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Picture
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


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Algebra House
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