Maths-
General
Easy
Question
PQ and RS are respectively the smallest and longest sides of a quadrilateral PQRS. Show that ∠ P > ∠ R
Hint:
Hint :-As we know angles opposite longer sides are greater
Angle opposite to smaller sides are smaller
The correct answer is: Hence proved
Aim :- Prove ∠P ∠R
In triangle PQR,
PQ < QR (PQ is smallest)
so, ∠PRQ ∠QPR
In triangle PSR,
PS < SR (RS is longest side)
∠ PRS ∠ RPS
Adding above results we get,
∠PRQ + ∠PRS ∠QPR + ∠RPS
∠R ∠P
Hence proved
In triangle PQR,
PQ < QR (PQ is smallest)
so, ∠PRQ ∠QPR
In triangle PSR,
PS < SR (RS is longest side)
∠ PRS ∠ RPS
Adding above results we get,
∠PRQ + ∠PRS ∠QPR + ∠RPS
∠R ∠P
Hence proved
Related Questions to study
Maths-
Classify whether the following Surd is rational or irrational , justify. 3√24− 5√5
Classify whether the following Surd is rational or irrational , justify. 3√24− 5√5
Maths-General
Maths-
In △ABC, AD and are the bisectors of ∠A and ∠C respectively. AD and CE intersect at . If ∠ABC = 90^∘, then find ∠AOC.
In △ABC, AD and are the bisectors of ∠A and ∠C respectively. AD and CE intersect at . If ∠ABC = 90^∘, then find ∠AOC.
Maths-General
Maths-
Maths-General
Maths-
Classify whether the following Surd is rational or irrational , justify 4√5+ 9
Classify whether the following Surd is rational or irrational , justify 4√5+ 9
Maths-General
Maths-
PQR is a triangle in which PQ=PR.S is any point on the side PQ. Through S, a line is drawn parallel to QR intersecting PR at T. Prove that PS = PT.
PQR is a triangle in which PQ=PR.S is any point on the side PQ. Through S, a line is drawn parallel to QR intersecting PR at T. Prove that PS = PT.
Maths-General
Maths-
Maths-General
Maths-
Classify whether the following Surd is rational or irrational , justify 8-√48
Classify whether the following Surd is rational or irrational , justify 8-√48
Maths-General
Maths-
Classify whether the following Surd is rational or irrational , Justify.√47+√8
Classify whether the following Surd is rational or irrational , Justify.√47+√8
Maths-General
Maths-
In the figure, sides QP and RQ of a are produced to points S and T respectively.
If and, find.
In the figure, sides QP and RQ of a are produced to points S and T respectively.
If and, find.
Maths-General
Maths-
Simplify √8 - √18 + √50
Simplify √8 - √18 + √50
Maths-General
Maths-
Maths-General
Maths-
Prove in the given figure, side QR of a is produced to a point S.
If the bisector of and meet at the point T, then prove
Prove in the given figure, side QR of a is produced to a point S.
If the bisector of and meet at the point T, then prove
Maths-General
Maths-
In an equilateral triangle ABC,D is a point on the side BC , such that . Prove that
In an equilateral triangle ABC,D is a point on the side BC , such that . Prove that
Maths-General
Maths-
In the figure, find the value of x.
In the figure, find the value of x.
Maths-General
Maths-
Maths-General