Find x in each triangle.
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The value of x is 9 in triangle 1
The value of x is 8 in triangle 2
The value of x is 5 in triangle 3
Right triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.
The hypotenuse = 17
Let, perpendicular = 8 and base = 15
According to Pythagoras theorem,
A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
perpendicular²+base²=hypotenuse²
In triangle 1
x² + 12² = 15²
x² = 15² - 12²
x² = 225 - 144
x² = 81
x = 9
In triangle 2
x² + 6² = 10²
x² = 10² - 6²
x² = 100 - 36
x² = 64
x = 8
In triangle 3
4² + 3² = x²
x² = 16 + 9
x² = 25
x = 5
Learn more about right triangle here:
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