Calculate Deltoid Area: Triangle with Height 4cm and Base 6cm

Given the triangle ABC and the deltoid ADEF

The height of the triangle is 4 cm

The base of the triangle is greater by 2 than the height of the triangle.

Segment FD cut to the middle

Calculate the area of the deltoid ADEF

444AAABBBCCCFFFEEEDDD

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Step-by-step video solution

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00:00 Calculate the area of deltoid ADEF
00:06 According to the given data, CB equals twice the height
00:10 Substitute in the relevant value and calculate CB
00:24 FD is the middle segment, therefore it equals half of the base (CB)
00:28 Substitute in the relevant values to determine FD
00:35 Apply the formula to calculate the deltoid area
00:42 (diagonal(AE) x diagonal(FD)) divided by 2
00:46 Substitute in the relevant values and proceed to solve
00:51 This is the solution

Step-by-step written solution

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1

Understand the problem

Given the triangle ABC and the deltoid ADEF

The height of the triangle is 4 cm

The base of the triangle is greater by 2 than the height of the triangle.

Segment FD cut to the middle

Calculate the area of the deltoid ADEF

444AAABBBCCCFFFEEEDDD

3

Final Answer

8 cm²

Practice Quiz

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Angle A is equal to 30°.
Angle B is equal to 60°.
Angle C is equal to 90°.

Can these angles form a triangle?

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