Chapter 8.1, Problem 34E

### 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 Exercises 34 to 36, provide paragraph proofs. Given: Right △ A B C Prove: h = a b c

To determine

To prove:

h=abc in a right ΔABC.

Explanation

1) Formula:

Area of the right triangle A=abÂ unit2.

Where, a and b are the two legs of the right triangle.

Area of the triangle A=bhÂ unit2.

Where, b is the base of the triangle, and h is the height of the triangle.

2) Calculation:

Given,

By the figure,

aÂ andÂ b are the two legs and hypotenuse c of the triangle Î”ABC

Area of the right triangle ABC=12abÂ unit2

(i.e.) AABC=12abÂ unit2â€¦(1)

When, ABÂ¯ is the base of the triangle Î”ABC

h is the height of the triangle and ABÂ¯=c is base (b) of the triangle

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