The side of rhombus is 14 in. the obtuse angle is 160º. find the longer diagonal of the rhombus.

The length of the longer diagonal of the rhombus with side 14 inches is;

27.57 inches.

We are told that the side of the rhombus is 14 inches.

Now, a rhombus has all its' 4 sides equal.

This means that the obtuse angle is the angle formed by 2 sides.

Thus, we can find the length of the diagonal using cosine rule. If the diagonal is c, then;

c² = 14² + 14² - 2(14 × 14) cos 160

c² = 196 + 196 + 368.3595

c² = 760.3595

c = √760.3595

c = 27.57 inches

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x = 27.57 in to the nearest hundredth.

Step-by-step explanation:

The longer diagonal  is opposite the obtuse angle.

Also as it is a rhombus all sides = 14 in.

Use the Cosine Rule:

x^2 = 14^2 + 14^2 - 2*14^2 cos 160

x^2 =  760.36

x = sqrt 760.36

x = 27.57 in.

answer: just subtact the units and then add the non negative : happy to

step-by-step explanation: