Respuesta :
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
The type of right triangle that triangle ABC is a scalene right angles triangle.
What is a scalene right angles triangle?
It should be noted that the scalene right angles triangle simply means a triangle that has the three sides to be different.
Also, in a scalene right angle triangle, one side is 90° while the other two angles are different.
Learn more about triangles on:
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