SOLUTION: Please help 1. A right angled triangle sides in the ratio 3:5:7. If the hypotenuse is 84mm, find the length of the other two sides. 2. A mass is composed of 3 parts of copper an

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Question 1054737: Please help
1. A right angled triangle sides in the ratio 3:5:7. If the hypotenuse is 84mm, find the length of the other two sides.
2. A mass is composed of 3 parts of copper and 4 parts of Zinc. Find the mass of copper and Zinc in a casting with a mass of 98kg.
Found 2 solutions by Alan3354, ankor@dixie-net.com:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
1. A right angled triangle sides in the ratio 3:5:7. If the hypotenuse is 84mm, find the length of the other two sides.
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That's not a right triangle.
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2. A mass is composed of 3 parts of copper and 4 parts of Zinc. Find the mass of copper and Zinc in a casting with a mass of 98kg.

Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
1. A right angled triangle sides in the ratio 3:5:7. If the hypotenuse is 84mm, find the length of the other two sides.
This can't be a right triangle, but we can ignore the 7 and find the two sides that has a hypotenuse of 84
let x = the multiplier
then
3x = one side
5x = the other side
84 = the hypotenuse
pythag
(3x)^2 + (5x)^2 = 84^2
9x^2 + 25x^2 = 7056
34x^2 = 7056
x^2 = 7056/34
x^2 = 207.53
x =
x = 14.406 is the multiplier
therefore
3 * 14.406 = 43.218 cm is one side
and
5 * 14.406 = 72.030 cm is the other side
:
Check with your calc: find the hypotenuse: = 84.00
:
:
2. A mass is composed of 3 parts of copper and 4 parts of Zinc.
Find the mass of copper and Zinc in a casting with a mass of 98kg.
Let x = the multiplier
then
3x = amt of copper
4x = amt of zinc
the equation
3x + 4x = 98
7x = 98
x = 98/7
x = 14 is the multiplier
therefore
3 * 14 = 42 kg is the amt of copper
4 * 14 = 56 kg is the amt of zinc
:
Check 42 + 56 = 98