In the given figure, `Delta ABC and Delta AMP` are right- angled at B – InterviewSolution

InterviewSolution

1.	In the given figure, `Delta ABC and Delta AMP` are right- angled at B and M respectively. Prove that (i) `Delta ABC ~~Delta AMP` `(ii) (CA)/(PA)=(BC)/(MP)`
Answer» GIVEN `Delta ABC and Delta AMP` such that ` angle B=90^(@) and angle M=90^(@)` TO PROVE (i) `Delta ABC~ Delta AMP` we have `angle ABC angle=AMP=90^(@)` `angle A= angle A` (common) `:. Delta ABC ~ Delta AMP`, [ by AA- similarity] (ii) Since `Delta ABC~ Delta AMP`, their corresponding sides are proportional. `:. (CA)/(PA)=(BC)/(MP)`

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)