The diagonal of rectangle measures 13cm. The width of the rectangle is 5 cm. Find the length of the rectangle.
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diagonal = √(length² + width²)
13 = √(length² + 5²)
13² = length² + 5²
length² = 13² - 5² = 169 - 25 = 144
length = √144 = 12
13 = √(length² + 5²)
13² = length² + 5²
length² = 13² - 5² = 169 - 25 = 144
length = √144 = 12
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Use the Pythagorean Theorem ("c" is always the diagonal, or hypotenuse)
a² + b² = c²
5² + b² = 13²
25 + b² = 169
-25______-25
b² = 144
√b² = √144
b = 12 <--- This is your answer!
The length of the rectangle is 12 cm.
a² + b² = c²
5² + b² = 13²
25 + b² = 169
-25______-25
b² = 144
√b² = √144
b = 12 <--- This is your answer!
The length of the rectangle is 12 cm.