Find the third side of the following right - angled triangle
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Step-by-step explanation:
a) Let the hypotenuse be a, one side be b, and the other side be c
By applying pythagoras theorem,
a² + b² = c²
= 5² + b² = 13²
= 25 + b² = 169
= b² = 169 - 25 = 144
= b = √144 = 12
The length of the other side will be 12 cm
b) 10² + 24² = c²
= 100 + 576 = c²
= 676 = c²
= c = √676 = 26
c) 48² + b² = 50²
= 2304 + b² = 2500
= b² = 2500 - 2304 = 196
= b = √196 = 14
d) 18² + 80² = c²
= 324 + 6400 = c²
= c² = 6724
= c = √6724
∴ c = 82 cm
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