What is the value of x to the nearest tenth? The figure is not drawn to scale.
TriangleThe lower side of the larger triangle equals 11.2.
The upper side of the larger triangle equals x.
The upper part of the right side above the angle bisector equals 5.4.
The lower part of the right side below the angle bisector equals 6.3.
(1 point)
Responses
x = 2.1
x = 2.1
x = 3.4
x = 3.4
x = 9.6
x = 9.6
x = 13.1
To find the value of x, we can use the property of similar triangles.
Using the given information, we know that the ratio of the upper side of the larger triangle to the lower side is equal to the ratio of the upper part of the right side to the lower part of the right side.
Therefore, we can set up the equation:
x/11.2 = 5.4/6.3
To solve for x, we can cross multiply:
6.3x = 11.2 * 5.4
x = (11.2 * 5.4) / 6.3
x ≈ 9.6
Therefore, the value of x to the nearest tenth is 9.6.