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Lubov Fominskaja [6]
3 years ago
5

The lengths of two sides of a right triangle are given. Find the length of the third side to the nearest tenth of a unit.

Mathematics
1 answer:
zaharov [31]3 years ago
8 0

Answer:

the length of the third side is 12.1m

Step-by-step explanation:

by Pythagoras we know the relationship of the sides of a rectangular triangle that is given by the formula h^2 = l1^2 + l2^2

h = hypotenuse = 14m

l1 = leg1 = 7m

l2 = leg2

h^2 = l1^2 + l2^2

14^2 = 7^2 + l2^2

196 = 49 + l2^2

196 - 49 = l2^2

147 = l2^2

√147 = l2

12.124 = l2

rounding to the nearest tenth

l2 = 12.1

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

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<u>Algebra II</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (21, 13)

Point (3, 13)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(3-21)^2+(13-13)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                   \displaystyle d = \sqrt{(-18)^2+(0)^2}
  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{324+0}
  4. [√Radical] Add:                                                                                                 \displaystyle d = \sqrt{324}
  5. [√Radical] Evaluate:                                                                                          \displaystyle d = 18
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