in the triangle the length of sode a is 5ft, and m angle a =60 degrees. find the exact lengths of sides b and c
Jesus loves you , he is coming soon
recall that for a 30-60-90 triangle, the sides are in the ratios
1:√3:2 = 5/√3 : 5 : 10/√3
I admire your post ^^
How wonderful to find people who share the same belief in Jesus' second coming. And it's true! Jesus will come at a time no one knows, so we must repent and confess in order to find mercy before God's throne.
The Bible says that Jesus wants to gather his children like the hen gathers her chicks under her wings. This is the most wonderful love that anyone can offer to such miserable sinners like us. There is nothing more valuable than the sacrifice of the Holy Lamb--he died because he loved you!
We must now devote our lives to him in return. It's not much to ask! After his death on the cross, it is simple to give our lives to him in return <3
To find the lengths of sides b and c in the triangle, we can use the trigonometric ratios and the given information.
In this case, we are given the length of side a and the measure of angle A. To find the lengths of sides b and c, we can use the trigonometric ratio known as the sine function.
The sine function is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In a triangle, the hypotenuse refers to the side opposite the right angle.
In our case, we are dealing with an acute angle triangle, not a right-angled triangle. However, we can still use the sine function because the sine function is also defined for acute angles in any triangle.
Let's use the sine function to find the lengths of sides b and c:
sin(A) = opposite / hypotenuse
In our case, side a is opposite angle A, and the hypotenuse will correspond to the longest side of the triangle. So, we can rewrite the equation as:
sin(60 degrees) = a / c
Substituting the given values, we have:
sin(60 degrees) = 5ft / c
Now, we can solve this equation for the length of side c:
c = (5ft) / sin(60 degrees)
To find the length of side b, we can use the fact that the sum of the angles in a triangle is 180 degrees. We know that angle A is 60 degrees, so angle B can be found by subtracting angle A from 180 degrees:
angle B = 180 degrees - angle A - angle C
angle C = 180 degrees - angle A - angle B
Substituting the known values, we have:
angle C = 180 degrees - 60 degrees - angle B
Now, we can use the sine function again to find the length of side b:
sin(C) = opposite / hypotenuse
sin(C) = b / c
Substituting the known values, we have:
sin(180 degrees - angle A - angle B) = b / c
Now, we can solve this equation for the length of side b.
These calculations will give you the exact lengths of sides b and c.