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gogolik [260]
2 years ago
5

HELP HELP PLEASE!! D: Determine the missing side length: Please don't give cap!

Mathematics
1 answer:
viktelen [127]2 years ago
8 0

Answer:

c = 35

Step-by-step explanation:

c^{2} = a^{2} + b^{2}

c^{2} = 21^{2} + 28^{2}

c^{2} = 1225

\sqrt{c^{2} } = \sqrt{1225}

c = 35

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Answer:

e = 13\sqrt{2}

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Step-by-step explanation:

The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.

Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:

Finding e:

sin(\theta) = \frac{opp}{hyp}

sin(\theta) = sin(45) = \frac{\sqrt{2}}{2}

hyp = 26

opp = e = ?

Plug in the values into the formula

\frac{\sqrt{2}}{2} = \frac{e}{26}

Multiply both sides by 26

\frac{\sqrt{2}}{2}*26 = \frac{e}{26}*26

\frac{\sqrt{2}}{2}*26 = e

\frac{\sqrt{2}}{1}*13 = e

13\sqrt{2} = e

e = 13\sqrt{2}

Since side e is of the same length with side f, therefore, the length of side f = 13\sqrt{2}

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