Question

Area of triangle with all sides equal to √2a is ​

Answer 1

Step-by-step explanation:

area of triangle

=1/2×b×h

by Pythagoras theorem

h=3/2a

therefore, area

1/2×√2a×3/2a

= 3/2√2a^2

is your answer

hope it helps

mark brainliest

✌️

Answer 2

Answer:

Concept:

Area of an Equilateral triangle.

Given that all sides are equal that means it's an equilateral triangle.

The area of an Equilateral triangle is   $&=\frac{\sqrt{3}}{4} a^{2}$

Step-by-step explanation:

Given:

All sides equal to $\sqrt{2} a$

Find:

The area of a triangle with all sides equal to √2a is ​

Solution:

The area of an Equilateral triangle is   $&=\frac{\sqrt{3}}{4} a^{2}$

                                   Here, a = √2a

By substituting the a value in the formula,

                            $&=\frac{\sqrt{3}(\sqrt{2} a)^{2}}{4} \\&=\frac{\sqrt{3} \times{2 a^{2}}}{4}=\frac{\sqrt{3} a^{2}}{2}$

The area of a triangle with all sides equal to √2a is ​$\frac{\sqrt{3} a^{2}}{2}$

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