Question

Check if the following triangles an be constructed.

(a) 80cm , 5cm , 5cm

(b) 13cm , 6cm , 7cm​

Answer 1

Answer:

First no

Second no

Because the sum of two sides of a triangle is always greater than third side.

Answer 2

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$\huge{\mathfrak\red{Here \:is \:your \:answer}}$

$\huge{\mathcal\pink{Question}}$

Check if the following triangles an be constructed.

(a) 80cm , 5cm , 5cm

(b) 13cm , 6cm , 7cm

$\huge{\mathcal\pink{Solution}}$

(a) 80cm , 5cm , 5cm

Adding up the sides by taking two at a time, we get:

5cm + 5cm = 10cm < 80cm

80cm + 5cm = 85cm > 5cm

So, we see that the sum of one pair of sides when added is not greater than the third side.

Therefore, we cannot draw a triangle with these measurements.

(b) 13cm , 6cm , 7cm

Adding up the sides by taking two at a time, we get:

13cm + 6cm = 19cm > 7cm

13cm + 7cm = 20cm > 6cm

6cm + 7cm = 13cm = 13cm

So, in each case, the sum of two sides is equal to the third side.

Hence, this triangle cannot be constructed.

$\huge{\mathfrak\red{Hope \:it \:is \:helpful}}$

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