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Karo-lina-s [1.5K]
3 years ago
9

Pls help I’ll give brainliest if you show ur work

Mathematics
1 answer:
tatiyna3 years ago
7 0

Answer:

DB = 20 cm

Step-by-step explanation:

<u>Given:</u>

║AB = 12 cm (represented by '<em>a</em>' leg)

║AD = 16 cm (represented by '<em>b</em>' leg)

║DB =  x cm (hypotenuse represented by '<em>c</em>' leg)

<u>These formulas are used to solve for a missing side length:</u>

<em>║a</em> = \sqrt{(c^2 - b^2)}

<em>║b</em> = \sqrt{(c^2 - a^2)}

<em>║c</em> = \sqrt{(a^2 + b^2)}

<u>Because we are solving for side length </u><em><u>c</u></em><u>, we will be using the third formula.</u>

<em>║c</em> = \sqrt{(a^2 + b^2)}

<em>║c</em> = \sqrt{(12^2 + 16^2)}

<em>║c</em> = \sqrt{(144 + 256)}

<em>║c</em> = \sqrt{400}

<em>║c</em> = 20

<u>Therefore, the value for side length DB should be:</u>

║DB = 20 cm

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