15. 15. Maria cycling at a speed of 18km per hour covers along the perimeter of an equilateral
triangular field in 10minutes. Let us write by calculating the time required for Maria to go
directly to the mid point of the side of the field starting from its opposite vertex. (/3=1.732)
it
GiVe
SHOULD
NOT BE WRONG
OTHERWISE IT WILL BE REPORTED
Answers
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Step-by-step explanation:
Given, the field is equilateral triangle
Let the side of triangle be x cm then each side of triangle = x km
She travels at speed of 18km/hour
⇒ She travels at the speed of 3 km in 10 minutes (
⇒
⇒ Distance she covers in 10 minutes = 3 × 10 = 30 km
Now according to the given condition
3x = 30
⇒ x = 10
Now each side of equilateral triangle = 10km
Midpoint of the side of the field directly from the opposite vertex means the perpendicular distance to that side which is also the height of the triangle
Area of triangle = 1/2 × base × height
⇒
⇒
⇒ h =
km
=
= 0.3464 km
Time taken to cover this distance
Time
= 0.0192 hour
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