Question

Find each of the following lengths. $\mathrm{BD}$

   Find each of the following lengths.
$\mathrm{BD}$

Geometry

Harold R. Jacobs 2nd Edition

Chapter 12, Problem 28

Instant Answer

Solved by Expert William Scherer

08/06/2020

Step 1

This means that $\mathrm{BDI}$ is a right angle. We can label $\mathrm{BD}$ as $a$, $\mathrm{ID}$ as $b$ (which is 15), and $\mathrm{BI}$ as $c$ (which is 25). Show more…

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Find each of the following lengths. $\mathrm{BD}$

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Key Concepts

Line Segment

A line segment is a part of a line that is bounded by two distinct endpoints. In many geometry problems, finding the length of a segment involves understanding the relationship between these endpoints and possibly breaking the segment into parts or applying known formulas based on the information provided about the points.

Distance Formula

The distance formula is a key tool in coordinate geometry that allows one to calculate the length of a segment connecting two points with known coordinates. It is derived from the Pythagorean Theorem and is commonly expressed as the square root of the sum of the squares of the differences in the x-coordinates and y-coordinates.

Pythagorean Theorem

The Pythagorean Theorem provides a foundation for calculating distances in geometry, particularly by relating the sides of a right triangle. In the context of finding a line segment length, the theorem explains how the horizontal and vertical differences between endpoints can be used to determine the direct distance between them.

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