If these two shapes are similar, what is the measure of the missing length k?
k = _____ inches
If these two shapes are similar, what is the measure of the missing length k? k = _____ inches
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If these two shapes are similar, what is the measure of the missing length k?
k = _____ inches
To find the measure of the missing length ( k ) in similar shapes, we can use the property that the ratios of the corresponding sides of similar shapes are equal.
To calculate ( k ) step-by-step, follow these steps:
1. Identify Corresponding Sides: Look at the lengths of the sides of the two shapes and which ones correspond to each other.
2. Set Up the Ratio: Write the ratio of the lengths of the sides you know, using the format:
[
frac{text{Side of Shape 1}}{text{Side of Shape 2}} = frac{text{Known Length}}{k}
]
3. Cross-Multiply: Cross-multiply to create an equation that lets you solve for ( k ):
[
text{Side of Shape 1} times k = text{Side of Shape 2} times text{Known Length}
]
4. Solve for ( k ): Divide both sides by ( text{Side of Shape 1} ) to isolate ( k ):
[
k = frac{text{Side of Shape 2} times text{Known Length}}{text{Side of Shape 1}}
]
5. Calculate ( k ): Substitute in the known values and calculate ( k ).
If you provide the specific measurements of the sides, I