One of the acute angles of a right-angled triangle is 60 degrees, and the sum of the

One of the acute angles of a right-angled triangle is 60 degrees, and the sum of the hepotenuse and the smaller leg is 15 cm. Find the length of the hepotenuse.

<B = 60 °; <A = 90 ° – 60 ° = 30 °;

a – leg, lying opposite an angle of 30 °; a = 1/2 s;

a + c = 15 (cm); a = 15 – c;

15 – c = 1/2 s; 3/2 c = 15;

c = 10 cm.



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