The hypotenuse of an isosceles right-angled triangle is 8 cm. Find its legs
| February 15, 2021 | education
Since the triangle is isosceles and right-angled, its legs are equal, and the angles at the hypotenuse are 45.
The sine of the angle of a right-angled triangle is the ratio of the opposite leg to the hypotenuse.
SinACB = AB / BC.
Sin45 = AB / 8
AB = (√2 / 2) * 8 = 4 * √2 cm.
AC = 4 √2 cm.
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