HarleyRothrock HarleyRothrock
  • 14-05-2019
  • Mathematics
contestada

a triangle has a base of 7m and a hypotenuse of 25m what is the area​

Respuesta :

altavistard
altavistard altavistard
  • 14-05-2019

Answer:

84 m²

Step-by-step explanation:

If you mention "hypotenuse," I automatically assume that this is a right triangle.  We can find the length of the third side using the Pythagorean Theorem:  7² + x² = 25², or x² = 625 - 49 = 576.

Then the 3rd side (which is also the height of the triangle) is x = √576 = 24.

The base of this triangle is 7 m and the height is 24 m.

The area is thus:

A = (1/2)(base)(height) = (1/2)(7 m)(24 m) =   84 m²

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