Question

EXERCISE 7.4
1. Write the measures of its sides in ascending
order in each of the following triangles :
( 1 ) In A ABC, ZA = 50° and Z B= 60°
(2) In A PQR, ZP= 40° and ZR= 80°
(3) In AXYZ, ZX= 80° and ZY= 30°
(4) In A ABC, ZB = 70° and ZC= 20°
(5) In A POR, ZP= 93° and ZR= 55°​

Answer 1

Answer:

Using angle sum property in △ABC

∠A+∠B+∠C=180

∘

⇒50

∘

+60

∘

+∠C=180

∘

⇒∠C=70

∘

In any triangle side opposite to the largest angle is the longest side.

Here ∠C is largest and side opposite to it is AB

∴AB is the longest side.

Then comes ∠B and side opposite to it is AC

∴AC is the second longest side.

Then comes ∠A and side opposite to it is AC

∴BC is the shortest side.

So the increasing order of sides is

BC<AC<AB

Step-by-step explanation:

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