Chapter 5.4, Problem 23E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

A rectangle has base length *x+*3, altitude length *x+*1, and diagonals of length 2*x* each. What are the lengths of its base, altitude, and diagonals?

To determine

**To Find:**

Lengths of the base, altitude and diagonals of the rectangle.

Explanation

Given A right triangle has legs of lengths *x *and 2*x+*2 and a hypotenuse of length 2*x+*3.

The figure can be redrawn as,

From the given data,

Length of the base = *x+*3.

Length of the altitude = *x+*1.

Length of the diagonal = 2*x.*

From the figure,

ABC is a right triangle,

AC is a hypotenuse and AB and BC are the legs of the triangle.

From the Pythagorean Theorem,

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