Supposed height of a right angle d triangle is 1 less than two times it's base .It's hypotenuse is 7 less than 3 times it's base . Find all the sides of the right angle triangle
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Step-by-step explanation:
Let Base be x
Hypotenuse = 3x - 7
Height = 2x - 1
To find the sides
Using Pythagoras Theorem
(Hy)sq = (H)sq + (B)sq
(3x -7)sq = (2x - 1)sq + (x)sq
9x sq - 49sq = 4x sq - 1sq + 2x sq
3x sq = 48 sq
x sq = 48 ÷ 3
x sq = 16
x = 4
.•.Base
=x
=4
Height
= 2x - 1
=2×4-1
=8-1
=7
Hypotenuse
=3x - 7
=3×4-7
=12-7
=5
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