Answer:
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Step-by-step explanation:
The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.
A rhombus is a quadrilateral whose all sides are of equal length, and the opposite are parallel to each other.
<h3>What is a Rhombus?</h3>
A rhombus is a quadrilateral whose all sides are of equal length, and the opposite are parallel to each other.
Given the diagonal MO divides the rhombus LMNO, is two isosceles triangles, therefore, ΔLMO and ΔMNO.
Since the triangles are isosceles triangles two of the sides of the triangle will be of the same length. Therefore,
In ΔLMO
LM = LO
In ΔMNO
MN = ON
since it is the property of the rhombus that the length of its adjacent sides is equal, therefore, the LMNO is a rhombus.
Learn more about Rhombus:
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Answer:
4
Step-by-step explanation:
1+2+2+3+4+5+6+9=32
32/8=4
We are tasked to solve for the smallest angle using the law of cosines given that the three sides of the triangle are 4,5 and 6.
a=4 , b=5, c=6
Angle 1:
cosA = 5² + 6² - 4² / 2*5*6
A=41.41°
Angle 2:
cos B = 4²+6² -5² /2*4*6
B= 55.77°
Angle C:
C = 180° - 41.41° - 55.77°
C = 82.82°
The smallest angle is A which is equal to 41.41°.