5) Given :
Side length of triangle (b) = 5.6 in
Hypotenuse of triangle (c) = 10.6 in
To find:
Length of side 'a'
Steps:
Using Pythagoras theorem
A² + B² = C²
We can find the missing length,
A² + (5.6)² = (10.6)²
A² + 31.36 = 112.36
A² + 31.36 - 31.36 = 112.36 - 31.36 (subtracting 31.36 from both sides)
A² = 81
[tex]\sqrt{A^{2} } =\sqrt{81}[/tex]
A = 9 in
The length of side 'a' is 9 in
now using the same method for the rest of the questions, you will find
6) [tex]\sqrt{15^{2} - 9^{2} }= \sqrt{225 - 81} = \sqrt{144} = 12 mm[/tex]
7)[tex]\sqrt{26^{2}-10 ^{2} }=\sqrt{676 - 100} =\sqrt{576} = 24 cm[/tex]
8)
[tex]\sqrt{(12\frac{1}{3}) ^{2} -4^{2} }=\sqrt{(\frac{37}{3})^{2} -4^{2} }= \sqrt{\frac{1369}{9}-16 } =\sqrt{\frac{1369}{9} - \frac{144}{9} } = \sqrt{\frac{1369 - 144}{9} }= \sqrt{\frac{1225}{9} }= 35/3 yd[/tex]
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