To find the missing side length in a shape with right angles, we can use the properties of right triangles or rectangles. However, the information provided seems a bit unclear without specifying the shape or the arrangement of the sides.
Given the lengths 9 yd, 7 yd, 5 yd, 4 yd, and 15 yd, we can consider a few scenarios:
- If these lengths are the sides of a rectangle or squares, two pairs of lengths must be equal.
- If they form a right triangle, we can use the Pythagorean theorem \(a^2 + b^2 = c^2\) to find the missing length, where \(c\) is the longest side.
Without additional context or a diagram, one option is to assume these line segments may form a combination of rectangles or a connected composition of segments for which we're trying to find a fourth side of a rectangle or a hypotenuse.
Here’s a potential interpretation:
Assuming these are segments of a geometric configuration:
If we arrange 4 segments (9 yd, 4 yd, 5 yd, and an unknown side) to form a rectangle or square with the 15 yd acting as a diagonal:
We might guess the missing side to check the configuration. Let's say the missing side is length \(x\).
If \(x\) represents the short side and we try to find a configuration assuming Pythagorean theorem (if these could form a right triangle):
Assuming these could form a triangle, we could check combinations.
For instance, assume:
- 9 yd and 7 yd are one pair of sides, we need the hypotenuse,
- or another configuration just depends on all 5 segments.
Without more context or arrangement, we generally don't have enough information to identify specifically what the "missing side" refers to.
Please clarify the arrangement of these segments or specify how they connect, so we can determine the fifth missing length more accurately!