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Can a right triangle have a leg that is 10 meters long and a hypotenuse that is 10 meters long
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Oct 7, 2017
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Can a right triangle have a leg that is 10 meters long and a hypotenuse that is 10 meters long
Mathematics
middle-school
Aneisa
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Aneisa
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To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c².
Given
α² = 10
c² = 10
Solve
α² + β² = c²
α² (10²) + β² = c² (10²)
100 + β² = 100
β² = 100 - 100 = 0
Simplify
A right triangle can not have a leg that is 10 meters long and a hypotenuse that is 10 meters long.
Havaligi Sathish
answered
Oct 8, 2017
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Havaligi Sathish
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lets see
a and b are legs
c=hypotnuse
a^2+b^2=c^2
10^2+b^2=10^2
100+b^2=100
minus 100 both sides
b^2=0
b=0
false, if you have a leg legnth 0, then they lines are right on top of each other
no cannot
Mars
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Oct 13, 2017
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Mars
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