Three sides of a triangle measure (2x + 3) units, (x + 5) units and 4x units. Find the measure of the
sides, if its perimeter is 148 units.
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SOLUTION
GIVEN
- Three sides of a triangle measure (2x + 3) units, (x + 5) units and 4x units
- The perimeter is 148 units.
TO DETERMINE
The measure of the sides
EVALUATION
Here it is given that three sides of a triangle measure (2x + 3) units, (x + 5) units and 4x units
Now the perimeter is 148 units.
So by the given condition
2x + 3 + x + 5 + 4x = 148
⇒ 7x + 8 = 148
⇒ 7x = 140
⇒ x = 20
Hence we get
First side = 2x + 3 = 43 units
Second side = x + 5 = 25 units
Third side = 4x = 80 units
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The angles of the triangle are 3x–40, x+20 and 2x–10 then the value of x is
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