Question

In right triangle ABC, m∠C = 3y - 10,

Answer 1

Answer:

The given triangle ABC is a SCALENE RIGHT - ANGLED TRIANGLE

Step-by-step explanation:

Here, in the triangle ABC

∠A = 90° , ∠B = y+ 40° and ∠C = 3y - 10°

Now, by ANGLE SUM PROPERTY of a triangle:

∠A + ∠B+ ∠C =  180°

or, 90° +  ( y+ 40°)  +( 3y - 10°) = 180°

or, 4y + 120° = 180°

⇒ 4y   = 180°  -  120° =  60°

or, y = 60° / 4 = 15  ⇒ y = 15

⇒ ∠B = y+ 40° = 55°

and ∠C = 3y - 10°  = 3(15) -10 = 35°

Now, here ∠A = 90° , ∠B = 55° and ∠C = 35°

Since here ∠B ≠ ∠C ≠  45°

Hence, the given triangle ABC is a SCALENE RIGHT ANGLED TRIANGLE