document.write( "Question 608744: 1)The hypotenuse of an isosceles right triangle is 8.4 in. Find the length of a side to the nearest tenth of an inch.\r
\n" ); document.write( "\n" ); document.write( "2)In a 30,60,90 degree triangle, the shorter leg is 6ft long. Find the length to the nearest tenth of s foot of the other two sides.\r
\n" ); document.write( "\n" ); document.write( "3)Each side of a rhombus is 14 in long. Two of the sides form a 60 degree angle. Find the area of the rhombus. Round your answer to the nearest square inch.\r
\n" ); document.write( "\n" ); document.write( "Thank u soooooo much, I'm trying to help my daughter :) \n" ); document.write( "
Algebra.Com's Answer #383366 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
1)The hypotenuse of an isosceles right triangle is 8.4 in. Find the length of a side to the nearest tenth of an inch.
\n" ); document.write( "draw a picture of a isosciles right triangle.
\n" ); document.write( "Label the hypotenuse as 8.4 in
\n" ); document.write( "Label each of the equal legs as \"x\":
\n" ); document.write( "Equation:
\n" ); document.write( "x^2 + x^2 = 8.4^2
\n" ); document.write( "2x^2 = 70.56
\n" ); document.write( "x^2 = 35.28
\n" ); document.write( "x = 5.9 inches
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\n" ); document.write( "\n" ); document.write( "2)In a 30,60,90 degree triangle, the shorter leg is 6ft long. Find the length to the nearest tenth of s foot of the other two sides.
\n" ); document.write( "Draw the picture of a 30/60/90 right triangle.
\n" ); document.write( "Let the side opposite the 30 degree angle be 6 ft.
\n" ); document.write( "---
\n" ); document.write( "Since the side opposite the 30 degree angle is 6 ft,
\n" ); document.write( "the hypotenuse must be 12 ft. Lebel the hypotenuse.
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\n" ); document.write( "Use Pythagoras to find the 3rd side; call it \"x\":
\n" ); document.write( "x^2 + 6^2 = 12^2
\n" ); document.write( "x^2 + 36 = 144
\n" ); document.write( "x^2 = 108
\n" ); document.write( "x = sqrt(108) = 10.39.. inches
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\n" ); document.write( "Note: Your daughter might know that the longer
\n" ); document.write( "leg is (sqrt(3))*(shorter leg).
\n" ); document.write( "If so, she may know that the longer side is 6*sqrt(3) = 10.39.. inches
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\n" ); document.write( "3)Each side of a rhombus is 14 in long. Two of the sides form a 60 degree angle. Find the area of the rhombus. Round your answer to the nearest square inch.
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\n" ); document.write( "Draw the picture of a rhombus (it's a lop-sided square;let it lean to the
\n" ); document.write( "right).
\n" ); document.write( "Label each of the smaller angles 60 degrees.
\n" ); document.write( "You need to find the height of the rhombus.
\n" ); document.write( "---
\n" ); document.write( "Draw a line segment from the upper-left vertex perpendicular to
\n" ); document.write( "the base. That forms a 30/60/90 right triangle.
\n" ); document.write( "The hypotenuse is one of the sides = 14 in
\n" ); document.write( "The shorter side (base) must be 7 in.
\n" ); document.write( "The longer side (height) must be 7*sqrt(3) = 12.12.. inches
\n" ); document.write( "---
\n" ); document.write( "Area = (base)(height) = 14*12.12 = 169.68 square inches
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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