Find `angleP` in the figure below. – InterviewSolution

InterviewSolution

1.	Find `angleP` in the figure below.
Answer» In ` triangleABC and triangleQRP` ,we have `(AB)/(QR) = (3.6)/(7.2) = 1/2 , (BC)/(RP) = 6/12 = 1/2` and ` (CA)/(PQ)= (3sqrt3)/(6sqrt3)=1/2` Thus `(AB)/(QR)= (BC)/(RP)= (CA)/(PQ)` Hence , by SSS criterion . `triangleABC ~ triangleQRP (("first two")/("first two")= ("last two")/("last two")= ("first and last")/("first and last")) ` `angleC= angleP ` ( thrid angle = third angle) But ` angleC= 180- (angleA + angleB)= 180^(@) - ( 70^(@)+60^(@)) = 50^(@)` ` angleP = 50^(@)`

Discussion

No Comment Found

Related InterviewSolutions

State whether the statements are True or False. It is possible to have a triangle in which two angles are acute.
State whether the statements are True or False. It is possible to have a triangle in which two of the angles are right angles.
State whether the statements are True or False.It is possible to have a triangle in which each angle is greater than 60°.
State whether the statements are True or False. It is possible to have a triangle in which each angle is less than 60°.
State whether the statements are True or False. It is possible to have a triangle in which each angle is equal to 60°.
In the figure y° = …………….. A) 45°B) 55°C) 90°D) 35°
In a triangle, one angle is of 90°. Then(i) The other two angles are of 45° each(ii) In remaining two angles, one angle is 90° and other is 45°(iii) Remaining two angles are complementaryIn the given option(s) which is true?(a) (i) only (b) (ii) only (c) (iii) only (d) (i) and (ii)
If two acute angles of a right triangle are equal, then each is equal toA. 30°B. 45°C. 60°D. 90°
Choose the correct one. If two angles of a triangle are 60° each, then the triangle is(a) Isosceles but not equilateral (b) Scalene(c) Equilateral (d) Right-angled
In an isosceles triangle, one angle is 70°. The other two angles are of(i) 55° and 55° (ii) 70° and 40° (iii) any measureIn the given option(s) which of the above statement(s) are true?(a) (i) only (b) (ii) only (c) (iii) only (d) (i) and(ii)