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Luden [163]
3 years ago
13

Joe measures side lengths of triangular canvas to be 22 inches, 10 inches and 11 inches. Could those be correct measurements?

Mathematics
1 answer:
SOVA2 [1]3 years ago
8 0

Answer:

Incorrect measurement

Step-by-step explanation:

Given

Shape: Triangle

Length: 22in, 10in and 11in

Required: Determine if the measurements are correct

<em>For the measurement of a triangle to be true, the sum of any 2 sides must be greater than the length of the third side.</em>

<em></em>

i.e.

22 + 10 > 11 --- True

22 + 11 > 10 --- True

11 + 10 > 22 --- False

Since all three conditions are not true, then the measurements are incorrect

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emmainna [20.7K]
<h3>Answer</h3>

c. a = 3√2, b = 6√2

<h3 /><h3>Explanation</h3>

#1.First, you find the opposite of the left triangle using sin formula

#2.After you get the opposite, find the b using sin formula and a using tan formula

<h3>Known</h3>

•Right triangle

Hypotenuse = 6

Adjacent = ?

Opposite = ?

• Left triangle

Hypotenuse = b

Adjacent = a

Opposite = ?

<h3>Question</h3>

a. adjacent of right triangle

b. hypothenuse of left triangle

<h3>Way to do</h3>

#1. Sin(∅)= opposite/hypotenuse

sin(45) = opposite/6

opposite = sin(45) × 6

opposite = 3√2

#2. a. tan(∅) = opposite/adjacent

tan(30) = 3√2 / a

a = 3√2 : tan(30)

a = 3√6

b. sin(∅) = opposite/hypotenuse

sin(30) = 3√2 / b

b = 3√2 : sin(30)

b = 6√2

#and so the a = 3√2 and b = 6√2

#you are welcome

<h3>Note for moderator that see this</h3>

#Moderators please don't be mean, dont delete my answers just to get approval from your senior or just to get the biggest moderation daily rank.

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