Question

Length of three sides of a triangle are (x + 2) cm. (x + 4) cm. and (x+6) cm. (x >0 and perimeter of the triangle is 18 cm. a) Draw a proportional figure by the given conditions. (b) Solve by forming equation. Draw the graph of the solution.​

Answer 1

Answer:

x is equal to 2

side 1 x plus 2 equal to 4

side 2 6

side 3 8

Answer 2

Answer:

Solution

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Let the congruent sides of an isosceles △ be x.

Let the base of the isosceles △ be y

According to the 1st condition,

x+x+y=30

2x+y=30

According to the 2nd condition

x=y+3

x−y=3

Solving equation (1) and (2)

2x+y=30

x−y=3

-------------------

3x=33

x=333

x=11

By substituting x=11 in equation (1)

2x+y=30

2(11)+y=30

22+y=30

y=30−22

=8

∴ The length of the sides of a △ are 11cm,11cm and 8cm.