In triangle ABC ,angle b=90 ,AB=5cm ,BC=12cm find perimeter of triangle ABC it is from chapter 6 of class 10 CBSE
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Step-by-step explanation:
by Pythagoras theorem find ac then apply the formula of perimeter.
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Answer:
Given:-
angle B=90°
AB=5cm
BC=12cm
from the figure we can understand that we've to find Hypotenuse(side opposite to a right angle of a triangle) for finding perimeter
Here
remaining side is AC
using Pythagorean Theorem
Hypotenuse²=base²+altitude²
Hypotenuse²=5²+12²=25+144
Hypotenuse²=169
Hypotenuse=√169
Hypotenuse=13
therefore the side AC is 13 cm
now we've to find the perimeter
from the data, it's sure that it's a right triangle.
and now we've to find it's perimeter
we know triangle is a closed polygon
and for a closed polygon,the perimeter=sum of it's all sides.
Here
Perimeter=AB+BC+AC
Perimeter=5+12+13
Perimeter=30
therefore the perimeter is 30cm.
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