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The length of one of the sides of a triangle is equal to 1m, the measurement of adjacent angles are 30º and 45º. Give exact measurements for the lengths of the other sides of the triangle.

Answer :

abidemiokin

The exact measurements for the lengths of the other sides of the triangle are 0.52 and 0.73m

To get the measure of the lengths of the other sides of the triangle, we need to get the third side first as shown:

Since the sum of the interior angle of a triangle is 180 degrees, hence;

30 + 45 + x = 180

75 + x = 180

x = 180 - 75

x = 105 degrees

Get the measure of the other sides using the sine rule;

1/sin 105 = x/sin 30 = y/sin 45

Get the measure of angle x

1/sin 105 = x/sin 30

x sin 105 = sin 30

x sin 105 = 0.5

x = 0.5/sin 105

x = 0.52m

1/sin 105 = x/sin 30 = y/sin 45

Get the measure of angle x

1/sin 105 = y/sin 45

y sin 105 = sin 45

x sin 105 = 0.0.7071

x = 0.7071/sin 105

x =  0.73m

Hence the exact measurements for the lengths of the other sides of the triangle are 0.52 and 0.73m

Learn more on sine rule here: https://brainly.com/question/15018190

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