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3 years ago

In AKLM, mZK = 101° and mL = 67º. Which statement about the sides of AKLM

Mathematics

1 answer:

Iteru [2.4K]3 years ago

3 0

Answer:

LM > MK > KL

Step-by-step explanation:

Given: ΔKLM , m∠K = 101° , m∠L = 67°

By definition of a triangle's sum of interior angles, the ∑ΔKLM's interior angles is 180°, ∴ m∠M = 180 - (101 + 67) = 12°

By the usage of law of sines, the opposite side's measurement is contingent with the angle measurement. The smaller the angle measurement, the shorter the opposite side.

Note the angles:

m∠M = 12° ∴ Side LK = shortest

m∠K = 101° ∴ Side ML = longest

m∠L = 67° ∴ Side KM = in between

∴ LK < KM < ML

A) LM > MK > KL is your answer.

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3 years ago

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3 years ago

Find the surface area of a square based pyramid if the edge of the base is 8 inches and the slant height is 20 inches.

Sliva [168]

Answer:

384 Square Inches

Step-by-step explanation:

Given a square pyramid with base side edge and slant height

$\text{Surface Area} = A+\dfrac12 ps, where:\\A=$Area of Base\\p=Perimeter of base\\s=Slant Height$

In the given pyramid:

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Therefore:

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4 years ago