In a right-angled triangle ABC, angle C = 90 degrees, CD is the height of the triangle, AC = 8cm, CB = 6cm
| August 3, 2021 | education
In a right-angled triangle ABC, angle C = 90 degrees, CD is the height of the triangle, AC = 8cm, CB = 6cm, find the length of CD.
In a right-angled triangle ABC, we determine the length of the hypotenuse AB.
AB ^ 2 = AC ^ 2 + BC ^ 2 = 64 + 36 = 100.
AB = 10 cm.
Determine the area of the triangles through the lengths of the legs.
Savs = AC * BC / 2 = 8 * 6/2 = 24 cm2.
Let’s define the area of the triangle through the hypotenuse and the height.
Savs = AB * CD / 2.
SD = 2 * Sasv / AB = 2 * 24/10 = 4.8 cm.
Answer: The length of the height CD is 4.8 cm.
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