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Chapter 2: Q20. (page 110)

PERIEAETER Find the value of x so that the triangles have the same perimeter. (Lesson 2-4)

Short Answer

Expert verified

x=20

Step by step solution

01

Step 1. Given information.

Sides of first triangle: x−5,x−4and5.

Sides of second triangle:x−10,10and16

And given that perimeter of both triangles are same.

02

Step 2. Perimeter of a triangle.

The perimeter of a triangle is the sum of its three sides.

03

Step 3. Description of step.

Since if the perimeter of both the triangles be same, thus the value of x can be find by using the formula for perimeter of triangle and equation perimeter of both triangles, as:

x−5+x−4+5=x−10+10+16

04

Step 4. Calculation.

Now finding the value of x as,

x−5+x−4+5=x−10+10+16x−5+x−4+5=x−10+262x−4=x+162x−x=16+4⇒x=20

Thus, value of x is 20.

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