Given a right-angled triangle, the hypotenuse is 4 cm, one of the legs is equal to 4 roots of 2.

Given a right-angled triangle, the hypotenuse is 4 cm, one of the legs is equal to 4 roots of 2. Find an unknown leg and sharp corners.

By the Pythagorean theorem, c² = a² + b², where a and b are the legs of a right-angled triangle,

c -hypotenuse; a = 4 cm; s = 4 √2 cm;

b² = c² – a² = 4² – (4√2) ² = 32 – 16 = 16 (cm²);

b = √ 16 = 4 (cm);

a = b, it means the triangle is isosceles;

<A = <B = (180 ° – 90 °): 2 = 45 °.