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Byju's Answer

Standard IX

Mathematics

Reducing Triangles and Observing Their Angles

The bisector ...

Question

The bisector of angle A and angle B of triangle ABC meet at P and PQ,PR are parallel to AC and BC. The perimeter of triangle PQR is 30cm. What is the length of AB.

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Solution

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Similar questions

Q. In

△ A B C

and

△ P Q R

∠ A = ∠ R, ∠ B = ∠ Q, A B = 28, B C = 10, A C = 24, P Q = 5

and

Q R = 14

. Then the length of the side

P R

is :

$∠ B A C o f △ A B C$ is obtuse and AB = AC. P is a point in BC such that PC= 12 cm. PQ and PR are perpendiculars to sides AB and AC respectively. If PQ = 15 cm and PR = 9 cm; find the length of PB.

State true or false:

Triangle

A B C

is similar to triangle

P Q R

. If bisector of

∠ B A C

meets

B C

at point

D

and the bisector of

∠ Q P R

meets

Q R

at point

M

, Then,

\frac{A B}{P Q} = \frac{A C}{P M} .

∠ B A C

of triangle

A B C

is obtuse and

A B = A C

P

is a point in

B C

such that

P C = 12

cm.

P Q

and

P R

are perpendiculars to sides

A B

and

A C

respectively. If

P Q = 15

cm and

= 9

cm; find the length of

P B

Q. Two triangles ABC and PQR are such that AB = 3 cm, AC = 6 cm, ∠A = 70⁰ PR = 9 cm, ∠P = 70⁰ and PQ = 4.5 cm. Show that
△ABC ∼ △PQR and state similarity theorem.

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