Chapter 4.4, Problem 22E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# In trapezoid RSTV, R V ¯ | | S T ¯ ,           m ∠ S R V = 90 ° , and M and N are midpoints of the nonparallel sides.a) What type of triangle is Δ R M N ?b) If ST = 13, RV = 17 and RS = 16, How long is R N ¯ ?c) What type of triangle is Δ R V N ?[Hint: Use lengths of sides found in part (b)].

To determine

a)

To Find:

The type of ΔRMN.

Explanation

The given trapezoid RSTV is.

Consider the triangle RMN.

It is given that mâˆ SRV=90Â°.

It represents the transversal SR is perpendicular.

We know that the median of a trapezoid parallel to each base

To determine

b)

To Find:

The length of RN¯.

To determine

c)

To Find:

The type of ΔRVN.

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