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Triangles

Long Answer Type

461. In the given Fig, two triangles ABC and DBC lie on the same side of base BC. P is a point on BC such that PQ || BA and PR || BD. Prove that: QR || AD.

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Short Answer Type

462. In a ∆ABC, DE || BC. If

DE space equals space 2 over 3 BC

and area of ∆ABC = 81 cm², find the area of ∆ADE.

91 Views

463.

In the given Fig. ABC is a triangle right angled at B. P and Q trisect BC. Prove that: 8AP² = 3AC² + 5AQ².

124 Views

Multiple Choice Questions

464.

In the given Fig, if DE || BC then the value of EC is

2.5 cm
1.4 cm
2 cm
2 cm

173 Views

465.
In the given Fig, $space increment ABC space and space increment DEF$ are similar, BC = 3 cm, EF = 4 cm and area of ∆ABC = 54 cm². The area of ∆DEF is

72 sq. cm
96 sq. cm
36 sq. cm
36 sq. cm

96 sq. cm

2416 Views

466. In the given Fig, DE || BC and AD : DB = 5 : 4 then the value of

space fraction numerator ar left parenthesis increment DEF right parenthesis over denominator ar left parenthesis increment CFB right parenthesis end fraction

$25 over 81$
$25 over 16$
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