Triangle Taper

If the height is 55.5 and the base is 34.4 of an isosceles triangle, than what's the length of 1 equal leg?

An obelisk is a tall, thin, four-sided monument that tapers to a pyramidal top. The most well-known obelisk to Americans is the Washington Monument on the National Mall in Washington, D.C. Each face of the pyramidal top of the Washington Monument is an isosceles triangle. The height of each triangle is the 55.5 feet, and the base of each triangle measures 34.4 feet.

What's the length, to the nearest tenth of a foot, of one of the 2 equal legs of the traingle?

If the base is 34.4 feet, that means the short leg of each triangle is half of that, or 17.2 feet.

So now, you have two triangles with legs of 17.2 feet and 55.5 feet.

Use the Pythagorean Theorem:

a² + b² = c²

----> (17.2)² + (55.5)² = c²

----> 295.84 + 3080.25 = c²

----> 3376.09 = c²

----> c = 58.1038725

So, each of the equal legs of the triangle is 58.1 feet.

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