The lateral side of an isosceles triangle = 17cm and the base = 16cm. find the height drawn to the base
| March 26, 2021 | education
In an isosceles triangle, the height drawn to the base is also the median of an isosceles triangle, then the base is divided into two equal segments.
AD = CD = AC / 2 = 16/2 = 8 cm.
Triangle ABD is rectangular, then BD ^ 2 = AB ^ 2 – AD ^ 2 = 289 – 64 = 225.
ВD = 15 cm.
Answer: The height of the triangle is 15 cm.
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