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Kay [80]
3 years ago
7

In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
3 0

Answer:

The measurement of EF is 1.98 units

Step-by-step explanation:

In Δ DEF

∵ m∠E = 90°

∴ FD is the hypotenuse of the triangle

∵ m∠D = 26°

∵ EF is opposite to angle D

- We can use the sine ratio to find it

∵ sin D = \frac{EF}{FD} ⇒ (opposite side / hypotenuse)

∵ FD = 4.5 units

∴ sin(26) = \frac{EF}{4.5}

- Multiply both sides by 4.5

∴ 4.5 sin(26) = EF

∵ sin 26° ≈ 0.44

∴ 4.5(0.44) = EF

∴ 1.98 = EF

The measurement of EF is 1.98 units

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The equation that can be used to find the width is 2(13 + w) = 42

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Step-by-step explanation:

The formula of the perimeter of a rectangle is P = 2(l + w), where l is its length and w is its width

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