Find the hypotenuse of a triangle if its legs are equal a) 3/5 meters and 4/5 meters

Find the hypotenuse of a triangle if its legs are equal a) 3/5 meters and 4/5 meters b) 5/13 decemeters and 12/13 decemeters c) 6cm and 8cm d) 10 cm and 24cm

You can find the hypotenuse along two legs by applying the Pythagorean theorem, which says: the square of the hypotenuse is equal to the sum of the squares of the legs.

Legend: let c – hypotenuse, a and b – legs. Then a short notation of the Pythagorean theorem is: c ^ 2 = a ^ 2 + b ^ 2. From this formula, the hypotenuse will be equal to: c = √ (a ^ 2 + b ^ 2).

a) a = 3/5 m;

b = 4/5 m;

c = √ ((3/5) ^ 2 + (4/5) ^ 2) = √ (9/25 + 16/25) = √25 / 25 = 1 (m).

b) a = 5/13 dm;

b = 12/13 dm;

c = √ ((5/13) ^ 2 + (12/13) ^ 2) = √ (25/169 + 144/169) = √169 / 169 = 1 (dm).

c) a = 6 cm;

b = 8 cm;

c = √ (6 ^ 2 + 8 ^ 2) = √ (36 + 64) = √100 = 10 (cm).

d) a = 10 cm;

b = 24 cm;

c = √ (10 ^ 2 + 24 ^ 2) = √ (100 + 576) = √676 = 26 (cm).