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: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol