draw a triangle PQR such that angle Q = 110° draw its attitude PL and QM to the line contain the opposite side letter to attitude meet at h join RH meeting Pq produced at N
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Given below is the construction of triangle as stated in the question.
- PL is an altitude from vertex P to the opposite side QR.
- RH is an altitude from vertex R to the opposite side PQ.
- QM is an altitude from vertex Q to the opposite side PR.
- All the three altitudes meet at N.
What is a triangle?
A triangle is a three sided enclosed geometrical shape with three angles. According to degree of angle of triangle, it is divided into three types: acute-angled triangle, obtuse-angled triangle and right-angled triangle.
What is acute-angled triangle?
- Acute angles are angles with a measure of less than 90 degrees.
- An acute-angled triangle has all the three angles less than 90 degree.
What is obtuse-angled triangle?
- Obtuse angles are angles with a measure greater than 90 degree but less than 180 degrees.
- An obtuse-angled triangle has at-least one angle as obtuse angle.
What is right-angled triangle?
- Right angle is equal to 90 degrees.
- A right-angled triangle has one angle as right angle i.e. 90 degree.
In this question, PQR is an obtuse angled triangle because ∠PQR = 110°.
What is an altitude of triangle?
- An altitude is a line segment drawn from a vertex of a triangle to the opposite side of that triangle.
- The angle made by the altitude on the opposite side is 90 degrees.
- An altitude is a perpendicular line drawn on a side of triangle from its opposite vertex.
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