What is the area of triangle ALC in the figure given below?

- a)2.5
- b)3
- c)3.5
- d)4
- e)4.5

Correct answer is option 'E'. Can you explain this answer?

Related Test: Test: Problem Solving- 1

2 Answers

Indu Bahl
answered
Jul 21, 2019

First of all, we need to find LC, but for that, we need to find DL. We know that AB= DC = 7.

So, LC = DC- DL

Now, DL = √(5^2- 3^2 )= 4 (using Pythagoras Theorem)

So, LC = 7-4 = 3

Therefore, Area = (1/2)(Base)(Altitude) = (0.5)(3)(3) = 4.5

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