Question

In isosceles triangle the length of a leg is 17 cm, and the base is 16 cm. Find the length of the altitude to the base.

Please answer under 10 minutes.

Answer 1

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Your questions states: In isosceles triangle the length of a leg is 17 cm, and the base is 16 cm. Find the length of the altitude to the base. Your correct answer would be 15cm.

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Answer 2

The length of the altitude to the base is 15cm.

Step-by-step explanation:

The altitude is one leg of the right triangle formed by the altitude, half the base, and the triangle side.

We will apply the pythagorean theorem here.

(17 cm)² = (Altitude)² + (16 cm/2)²

Collecting like terms.

Altitude = √(17² - 8²) cm = √225 cm

Altitude = 15 cm

Hence, the length of the altitude to the base is 15cm

Learn more about isosceles triangle here : https://brainly.in/question/1498410