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3 years ago

Please help me find the values and explain how you got the answer :))

Mathematics

1 answer:

Deffense [45]3 years ago

3 0

Step-by-step explanation:

it is an iscoceles triangle so a = b

use pythagorus theorem

a^2 + b^2 = c^2

a^2 + a^2 = 2^2

2a^2 = 4

a = square root 2

b = square root 2

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Answer:

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Step-by-step explanation:

We have been given a triangle. We are asked to find the measure of angle Z using Law of cosines.

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Upon substituting our given values in law of cosines, we will get:

$16^2=19^2+18^2-2(19)(18)\cdot \text{cos}(Z)$

$256=361+324-684\cdot \text{cos}(Z)$

$256=685-684\cdot \text{cos}(Z)$

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$0.627192982456=\text{cos}(Z)$

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Now, we will use inverse cosine or arc-cos to solve for angle Z as:

$Z=\text{cos}^{-1}(0.627192982456)$

$Z=51.1566718^{\circ}$

$Z\approx 51^{\circ}$

Therefore, the measure of angle Z is approximately 51 degrees.

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