Question

Complete the work to find the length of HD. Use the side-splitter theorem to set up a proportion. StartFraction E G Over G D EndFraction = StartFraction F H Over H D EndFraction Substitute in the known side lengths. StartFraction 4 Over 11 EndFraction = StartFraction 2 Over H D EndFraction Cross-multiply and solve for HD. HD =

Answer 1

Answer:

5.5

Step-by-step explanation:

the answer is 5.5

Answer 2

Similar triangles may or may not have congruent corresponding side lengths

The value of side length HD in the given proportion equation is 5.5 units

The proportion equation is given as:

$\frac{EG}{GD} = \frac{FH}{HD }$

Next, we substitute the known values (i.e. the known side lengths) in the above equation

$\frac{4}{11} = \frac{2}{HD }$

Cross multiply to solve for HD

$4 \times HD = 11 \times 2$

Multiply 11 and 2

$4 \times HD = 22$

Divide both sides of the equation by 4

$HD = \frac{22}4$

Divide 22 by 4

$HD = 5.5$

Hence, the value of side length HD in the given proportion equation is 5.5 units

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