Which of the following are the measures of the angles of a right triangle?
a. 60∘,60∘,60∘
b. 30∘,90∘,50∘
c. 45∘,50∘,85∘
d. 65∘,25∘,90∘
Answers
Answer:
b) 30°,90•,50° is the answer
Answer:
The answer is option d) 65∘,25∘,90∘
Explanation:
A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The sum of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
The right triangle's three sides are interconnected. The Pythagorean Theorem explains this connection. This theorem states that in a right triangle,
Hypotenuse² = Base² + Perpendicular²
a) and c) does not contain 90∘,
So the option is wrong
b) 30∘,90∘,50∘
30∘+50∘=80∘
It does not sum up to 90∘, so this option is alos wrong
d) 65∘,25∘,90∘
65∘+25∘ =90∘
So, this option is correct
Therefore, option D is correct
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