Please tell the correct explanation
Answers
Answer:
acute angled triangle - less that 90degrees
obtuse angled triangle- more than 90 degree and less than 180degree
right angled triangle- 90degree
isosceles triangle sides equal pls mark me as brainliest ✨
Your Question :
The angles of a triangle are in the ratio 5 : 3 : 7. The triangle is
a) an acute angled triangle
b) an obtuse angled triangle
c) a right triangle
d) an isosceles triangle
Given :
- Ratio of the angles of a triangle - 5 : 3 : 7
To Find :
- What type of triangle it is!
Solution :
In order to find the type of the given triangle, we need to find all the angles of the triangle at first. Then, we will get the required answer.
Let the angles of the triangle be 5x , 3x and 7x respectively.
We know,
The sum of all the angles of a triangle = 180°.
According to question,
➻ 5x + 3x + 7x = 180°
➻ 15x = 180°
➻ x = 180/15
➻ x = 12°
So, the three angles of the triangle are
➻ 5x = 5 × 12 = 60°
➻ 3x = 3 × 12 = 36°
➻ 7x = 7 × 12 = 84°
After getting the angles, we can easily understand what type of triangle it is!
We know that an acute angled triangle is a type of triangle where all the angles are less than 90°.
Since, in this given triangle, all the angles ( 60°, 36° and 84° ) are less than 90°, we will consider it as an acute angled triangle.
Final Answer :
The triangle is (a) acute angled triangle.
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