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

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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

Follow each step carefully to understand the complete solution
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

Test your knowledge with interactive questions

Calculate the area of the triangle using the data in the figure below.

444777AAABBBCCC8.06

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Deltoid questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Area of a Triangle

Calculate Triangle Area: Using 1/4 Side Ratio and Height of 12
Click to solve
Calculate Triangle Area with 1/5 Ratio: Height-Base Geometry Problem
Click to solve

Deltoid

Calculate Kite Area: Given Diagonal DB=10 and Side CB=4
Click to solve
Calculate Triangle Fit in Deltoid: 8cm and 14cm Dimensions Problem
Click to solve

Area of a Deltoid

Deltoid ABCD: Calculate DB When AC is 75% of DB and Area is 108X cm²
Click to solve
Deltoid Area Problem: Solve for X When Area = 16 cm² and Length = 2×Width
Click to solve