Question

The acute angles of the right triangle are in the ratio 2:7,find all the triangles.

Answer 1

Let the name of the triangle be ABC,

Let angle B be 90° [Since it is a right angle triangle]
Angle A : Angle C = 2 : 7 [Given]

(2+7 = 9 ; Angle A + Angle C = 90°)

Angle A = (2/9) * 90
= 2 * 10
= 20°

Angle C = (7/9)* 90
= 7*10
= 70°
[Or Angle C + Angle A = 90°
Angle C = 90°- Angle A
= 90°-20°
= 70°]

Therefore Angle A = 20° ; Angle B = 90° and Angle C = 79°

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Answer 2

Answer:

The angles of the triangle are 20°,70° and 90°.

Step-by-step explanation:

Let all the acute angles be 2x° and 7x°

All the angles of a triangle = 180°

One angle of a right triangle = 90°

So, all the angles of the triangle are --

=> 2x° + 7x° + 90° = 180°

=> 9x° + 90° = 180°

=> 9x° = 90°

So, x = 10

Since x = 10

Hence, 2x° = 20° and 7x° = 70°.

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