# In a right-angled triangle, one of the angles is 60, the sum of the hypotenuse and the smaller leg is 45 m.

December 30, 2020 | education

| **In a right-angled triangle, one of the angles is 60, the sum of the hypotenuse and the smaller leg is 45 m. Find the length of the hypotenuse.**

The triangle is rectangular. If angle 1 is 60, then 2 is 30. Leg opposite an angle of 30 degrees = half the hypotenuse. He is also the smaller leg.

Let’s designate AB-hypotenuse, BC-smaller leg. AB + BC = 45

BC + 2BC = 45

3BC = 45

BC = 15

AB = 30

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