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Find the surface area of the triangular pyramid. The side lengths of the base are equal.

Find the surface area of the triangular pyramid. The side lengths of the base are-example-1

1 Answer

5 votes

Answer:

133.5 cm²

Explanation:

We have

three triangles with the base b = 10cm and the height h₁ = 6cm

one triangle with the base b = 10cm and the height h₂ = 8.7cm.

The formula of an area of a triangle:


A=(b\cdot h)/(2)

b - base

h - height

Substitute:


A_1=((10)(6))/(2)=(60)/(2)=30\ cm^2


A_2=((10)(8.7))/(2)=(87)/(2)=43.5\ cm^2


S.A.=3A_1+A_2\\\\S.A.=3(30)+43.5=90+43.5=133.5\ cm^2

User Lahar Shah
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