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inna [77]
2 years ago
7

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t

he altitude cuts the base into two equal segments. The length of the altitude is 18 inches, and the length of the base is 17 inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
6 0

9514 1404 393

Answer:

  56.8 in

Step-by-step explanation:

The side length (s) can be found using the Pythagorean theorem. The short leg of the right triangle is 17/2 = 8.5 inches.

  8.5^2 + 18^2 = s^2

  s = √396.25 ≈ 19.906 . . . inches

Then the perimeter is ...

  2 × 19.9 in + 17 in = 56.8 in

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