Write down the length of AO. Find the size of the angle that the sloping edge AE makes with the base of the pyramid (this angle is the angle drawn at point A shown on the diagram). Hence, or otherwise, find the area of the triangle CAE. In the following diagram, ABCD is the square base of a right pyramid with vertex E. Thecenter of the base is O. The diagonal of the base, AC, is 6 cm long. The sloping edges are 9cm long.E9 cmA

The square base right angled pyramid has a square at the base. Therefore, the diagonals are equal in…

Write down the length of AO. Find the size of the angle that the sloping edge AE makes with the base of the pyramid (this angle is the angle drawn at point A shown on the diagram). Hence, or otherwise, find the area of the triangle CAE.

Write down the length of AO. Find the size of the angle that the sloping edge AE makes with the base of the pyramid (this angle is the angle drawn at point A shown on the diagram). Hence, or otherwise, find the area of the triangle CAE.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter9: Surfaces And Solids

Section9.CT: Test

Problem 6CT

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Question

Write down the length of AO.

Find the size of the angle that the sloping edge AE makes with the base of the pyramid (this angle is the angle drawn at point A shown on the diagram).

Hence, or otherwise, find the area of the triangle CAE.

In the following diagram, ABCD is the square base of a right pyramid with vertex E. The
center of the base is O. The diagonal of the base, AC, is 6 cm long. The sloping edges are 9
cm long.
E
9 cm
A

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