Respuesta :
You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²) b = 9.16
With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²) b = 9.16
With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10
Answer:
Step-by-step explanation:
In triangle if two sides are known and included angle is known we can use cosine formula as follows:
Say in a triangle, sides a,b are known and also included angle C
Then the third side
[tex]c^{2} =a^{2}+b^{2} -2abCos C[/tex]
Since all values on right side are known, we can find the third side c easily.
Case II:
If alternately two sides and one angle not included is known. i.e we know a,b and either angle A or B.
then to find third side we use sine formula.
[tex]\frac{a}{sinA}=\frac{b}{sinB} =\frac{c}{sinC}[/tex]
Using the above we can find the unknonwn side c easily.
