The hypotenuse of an isosceles triangle is 16 cm, calculate the distance from the vertex of the right
| June 25, 2021 | education
The hypotenuse of an isosceles triangle is 16 cm, calculate the distance from the vertex of the right angle to the hypotenuse.
AH is the perpendicular to the hypotenuse BC, since H is the height of the triangle.
The angles in a right-angled isosceles triangle are 45, the BCA angle = HAC = 45.
Triangle AHC is a right-angled angle HCA = 45, so the angle HAC = 45, then triangle AHC is isosceles, AH = CH = BC / 2 = 16/2 = 8 cm.
Answer: The height of triangle ABC is 8 cm.
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