Question

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1. A triangle ABC is an equilateral triangle. find the measure of its each angle.
2. Find the sum of the interior angles of a quadrilateral.
3. Find the ratio of the sides of a square and an equilateral triangle having equal perimeter.
4. A rectangular garden plot of size 220m*160m is having two cross roads, each 6m wide running through its middle one is parallel to length and other is parallel to breadth.
5. If the sides of a triangle are in the ratio 13:14:15 and it's perimeter is 84m. use for Heron's formula.
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Answer 1

Ans:

1)All angles are equal

Sum of all angles in a triangle is 180 degrees.

x+x+x=180

>>>x=60 degrees

2)Sum of opposite angles in a quadrilateral is 180.

2 such pairs exist in a quadrilateral.

So,total is 360 degree

3)Let the side of square be a and that of equilateral triangle be l.

4a = l+l+l = 3l

Therefore,a/l = 3:4

4) question is incomplete.

5)Let the three sides be 13,14,15 semiperimeter,s =(A+B+C)/2

= 21

Area=√(s(s-a)(s-b)(s-c))

=√7056

= 84

If sides are 13x,14x,15x then area will be a multiple of 84

Answer 2

Answer:

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Step-by-step explanation:

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