The height of an isosceles triangle is 15 cm and the length of the base is 16 cm, which is equal to the lateral side.
| August 6, 2021 | education
1. A, B, C – the vertices of the triangle. BE – height. AB = BC. AC is the base.
2. Since the triangle ABC is isosceles, the height BE is also the median and divides the AC into two equal segments:
AE = CE = 16: 2 = 8 centimeters.
3. Calculate the length of the lateral side AB, which is the hypotenuse in the right-angled triangle ABE.
AB = √AE² + BE² (by the Pythagorean theorem).
AB = √8² + 15² = √64 + 225 = √289 = 17 centimeters.
Answer: The side of a given triangle is 17 centimeters.
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