The measures of sides of a triangle are in A.P it's perimeter is 30cm and difference between longest and shortest side is 4 cm find the measures of sides answer soon plz....
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Answered by
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The three sides are a,(a+d),(a+2d)a,(a+d),(a+2d), the area of right angled triangle is 24. Hence
12a(a+d)=2412a(a+d)=24
a(a+d)=48a(a+d)=48 - product of two sides = 48
All possibilities - x,yx,y
1,481,48 —a=1,d=47a=1,d=47
2,242,24 — a=2,d=22a=2,d=22 (third side z=46)z=46)
3,163,16 —a=3,d=13a=3,d=13 (third side = z=29)z=29)
4,124,12 — a=4,d=8a=4,d=8 (third side = z=20)z=20)
6,86,8 — a=6,d=2a=6,d=2 (third side = z=10)z=10)
But for right angles triangle, you want -
x2+y2=z2x2+y2=z2
Only (6,8,10)(6,8,10), satisfy this. So these are the sides of your triangle, smallest side being 66.
I HOPE IT WILL HELP YOU DEAR
THANKU
The three sides are a,(a+d),(a+2d)a,(a+d),(a+2d), the area of right angled triangle is 24. Hence
12a(a+d)=2412a(a+d)=24
a(a+d)=48a(a+d)=48 - product of two sides = 48
All possibilities - x,yx,y
1,481,48 —a=1,d=47a=1,d=47
2,242,24 — a=2,d=22a=2,d=22 (third side z=46)z=46)
3,163,16 —a=3,d=13a=3,d=13 (third side = z=29)z=29)
4,124,12 — a=4,d=8a=4,d=8 (third side = z=20)z=20)
6,86,8 — a=6,d=2a=6,d=2 (third side = z=10)z=10)
But for right angles triangle, you want -
x2+y2=z2x2+y2=z2
Only (6,8,10)(6,8,10), satisfy this. So these are the sides of your triangle, smallest side being 66.
I HOPE IT WILL HELP YOU DEAR
THANKU
Answered by
0
Answer:
The sides are 8,10 and 12
Step-by-step explanation:
As per the data given in the question we have to calculate the sides.
As per the questions it is given that the measures of sides of a triangle are in A.P it's perimeter is 30cm and difference between longest and shortest side is 4 cm.
Let us assume that the sides be a-d, a, a+d
Here a is the number and d is the difference.
A-d is the shortest and a+d is the longest site.
(a+d)-(a-d)=4
⇒2d=4 = d= 2
Perimeter is given as 30cm
a-d+a+a+d = 30
⇒a=10cm
a-d = 10-2 = 8cm
a = 10cm
a+d = 10+2 12 cm
Therefore, the sides are 8,10 and 12.
Hence, the sides are 8,10 and 12
For such type of question:
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Similar questions
a-d, a, a+d
Here "a' is a number and" d' is the difference
And a+d is the longest side and a-d is the sortest
Given :
a+d - (a-d) = 4
a+d-a+d = 4
2d=4
d=2
And also given:
Perimeter =30
a-d+a+a+d =30
3a =30
a=10cm
So sides are
a-d = 10-2=8cm;
a=10cm;
a+d=12cm
Therfore sides are 8,10,12cm