Question

in a right angle triangle,one of the acute angles is two third of the other.find the angles of the triangle.​

Answer 1

Answer:

Let the measure of the two angles be 2x and 3x (Since angles are in the ratio 2:3)

According to question,

2x+3x+90°=180°

5x=180°−90°

5x=90

x=

5

90

x=18

∴ one angle is 2x=2×18=36°, second angle is 3x=3×18=54° and the third one is 90° as it is a right angled triangle.

Answer 2

★Aɴsᴡᴇʀ :-

36, 90 and 54

★Qᴜᴇsᴛɪᴏɴ :-

In a right angle triangle,one of the acute angles is two third of the other.find the angles of the triangle.

★Gɪᴠᴇɴ :-

• One of the angle is (2/3) of another angle.
• One angle is 90

★Cᴏɴᴄᴇᴘᴛ :-

ANGLE SUM PROPERTY

• sum of all the angles of a triangle is 180.

★Sᴏʟᴜᴛɪᴏɴ :-

Let the unknown angle be x.

Other angle is (2/3)x

Therefore,

➪By angle sum property,

$x + \frac{2x}{3} + 90 = 180 \\ \\ x + \frac{2x}{3} = 90 \\ \\ \frac{3x + 2x}{3} = 90 \\ \\ 5x = 270 \\ \\ x = 54$

Other angle is (2/3) of x

So, it will be ......(2/3)×54

= 36

So, the angles are 54 , 36 and 90.

★Vᴇʀɪғɪᴄᴀᴛɪᴏɴ :-

The sum of all the angles should be 180

90 + 36 + 54 = 180........( verified)

ᗰᗩᖇK ᗩՏ ᗷᖇᗩIᑎᒪIᗴՏT.....✌️✌️