If each side an equilateral triangle is 4-2cm then which of the following is-are true-

The correct option is C Perimeter is an irrational number a = 4√(2)cm A = √(3)4a^2 #160; #160; ⇒ #160; √(3)4× (4√(2))^2 = 8√(3)cm^2 S = ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Area of a Triangle - By Heron's Formula

If each side ...

Question

If each side an equilateral triangle is $4 \sqrt{2} c m$ then which of the following is/are true?

It's area is a natural number

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Numerical value of area and perimeter are same/equal

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Perimeter is an irrational number

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

All of these are correct

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C Perimeter is an irrational number
$a = 4 \sqrt{2} c m$
$A = \frac{\sqrt{3}}{4} a^{2}$
$\Rightarrow \frac{\sqrt{3}}{4} \times (4 \sqrt{2})^{2} = 8 \sqrt{3} c m^{2}$
$S = 3 a = 12 \sqrt{2} c m$

Suggest Corrections

Similar questions

Q. The sides of a triangle are in A.P and its area is

(3 / 5) \times

(area of an equilateral triangle of the same perimeter) then is area of the

Δ

le is

Q. If the sides of a triangle are in A.P. and its area is

\frac{3}{5} t h

of an equilateral triangle of the same perimeter, then the sides are in the ratio

If each side of an equilateral triangle is increased by 2 cm, then its area increases by 3√3 cm². The length of its each side and its area are respectively equal to

Q. The sides of a triangle are in

A P

and its area is

\frac{3}{5}

times the area of an equilateral triangle of the same perimeter.

Then the ratio of the sides is?

Q. If the sides of a triangle are in

A . P .

and its area is

\frac{3}{5}

of area of equilateral triangle of same perimeter, then ratio of sides is

Join BYJU'S Learning Program

If each side an equilateral triangle is 4√2cm then which of the following is/are true?

The correct option is C Perimeter is an irrational numbera=4√2cmA=√34a2 ⇒√34×(4√2)2=8√3cm2S=3a=12√2cm

If each side an equilateral triangle is $4 \sqrt{2} c m$ then which of the following is/are true?

The correct option is C Perimeter is an irrational number
$a = 4 \sqrt{2} c m$
$A = \frac{\sqrt{3}}{4} a^{2}$
$\Rightarrow \frac{\sqrt{3}}{4} \times (4 \sqrt{2})^{2} = 8 \sqrt{3} c m^{2}$
$S = 3 a = 12 \sqrt{2} c m$