What is the surface area of this triangular pyramid?
5 yd
4 yd
4 yd
3.5 yd

  37 yd²

Step-by-step explanation:

The surface area is the sum of the base area and the lateral area. Since each lateral face is the same size, we have ...

  lateral area = 3(1/2)bh = (3/2)(4 yd)(5 yd) = 30 yd²

  base area = 1/2bh = 1/2(4 yd)(3.5 yd) = 7 yd²

Then the total surface area is ...

  surface area = lateral area + base area = 30 yd² + 7 yd²

  surface area = 37 yd²

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step-by-step explanation:

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