Question

are the following triangles possible with given angles (i) 35°, 95° ,90° (ii) 48°, 62°, 70°

Draw the triangles (attach image in your answer)

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Answer 1

We know that the sum of 3 angles of a triangle is 180⁰.

(i)35⁰+95⁰+90⁰=220⁰ Triangle is not possible so we can't draw this type of triangle...

(ii)48⁰+62⁰+70⁰=180⁰ We can draw this type of triangle....

Answer 2

Answer:

i)

Okay let us consider a traingle ABC

where <A = 35° , <B=95° <C =90°

now according to angle sum property of triangle the sum of all angles of ΔABC i.e.

<A, <B and <C must be equal to 180°

<A + <B + <C

35 + 95 + 90

220°

So <A + <B + <C ≠ 180

hence Δ ABC is not a triangle.

ii)

Let us consider ΔPQR where <P =48°

<Q = 62°and <R=70°

Now according to the angle sum property of triangle sum of all angles of ΔPQR i.e,

<P, <Q and <R must be equal to 180°

<P + <Q + <R

62 + 48 + 70

180°

so <P + <Q + <R= 180°

Hence ΔPQR is a triangle.