Question

In triangle abc angle A is equal to X and a b is equal to 3x angle C is equal to Y if 3 Y - 5 x is equal to 30 degree show that triangle is right angle triangle

Answer 1

Answer:

Step-by-step explanation:

If B = 3x, then triangle ABC will be a right triangle.

A + B + C = 180°

x + 3x + y = 180° ………..(1)

3y - 5x = 30 ( given)

=> y =( 30 + 5x)/3

=> y = 10 + 5x/3

=> eq (1) =

x + 3x + 10 + 5x/3 = 180

=> 17x/3 = 170

=> x = 170*3 /17 = 30°

=> A= 30°,

B = 3x= 90°,

C = 10+ 5x/3 = 10+150/3 = 10+50 = 60°

=> tri ABC is a right triangle , right angled at B

Answer 2

Heya mate,

Here is your answer,. ⬇️⬇️

${ ANSWER :-}$

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$<i>$ Here, we have,
Angle A = x
Angle B = 3x
Angle C = y

Now,
A + B + C = 180°
=> x + 3x + y = 180°
=> y = 180° - 4x ...........(1)

And, it is given that,
3y - 5x = 30°
=> 3(180° - 4x) - 5x = 30° [from(1)]
=> 540° - 12x - 5x = 30°
=> 17x = 540° - 30° = 510°
=> x = 30°

Now, we have,
Angle B = 3x = 3*30° = 90°

➡️ Hence, triangle ABC is a right angled triangle.

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$<b>$ Hope this helps,.

If helps, please mark 'thanks'.

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REGARDS, ARNAB ✌️

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