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3 years ago

Right Triangle ABC has its right angle at C, BC = 4, and AC= 8.

Mathematics

1 answer:

ra1l [238]3 years ago

7 0

9514 1404 393

Answer:

cos B = (√5)/5

csc B = (√5)/2

tan A = 1/2

Step-by-step explanation:

The length of hypotenuse AB is given by the Pythagorean theorem:

AB² = AC² +BC²

AB² = 8² +4² = 64 +16 = 80

AB = √80 = 4√5

The mnemonic SOH CAH TOA can help you remember the needed ratios.

Cos = Adjacent/Hypotenuse

cos B = BC/AB = 4/(4√5)

cos B = (√5)/5

Sin = Opposite/Hypotenuse

csc = 1/sin = Hypotenuse/Opposite

csc B = AB/AC = (4√5)/8

csc B = (√5)/2

Tan = Opposite/Adjacent

tan A = BC/AC = 4/8

tan A = 1/2

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Answer:

The perimeter of a parallelogram is 42 cm.

Step-by-step explanation:

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The formula for area of a parallelogram is

$A=base \times height$

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The distance between point of intersection of the diagonals and the opposite sides are same.

$h_1=3+3=6cm$

$A=b_1\times h_1$

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$b_1=12cm$

The measure of a side is 12 cm.

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$b_2=9cm$

The measure of another side is 9 cm.

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$P=2(b_1+b_2)=2(12+9)=42$

Therefore the perimeter of a parallelogram is 42 cm.

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3 years ago

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Elina [12.6K]

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