In the given figures- the sides AB and BC and the median AD of - ABC are respectively equal to the sides PQ and QR and median PS of - PQR- Hence - ABC and - PQR are right-angled triangles-If the above statement is true then mention answer as 1- else mention 0 if false-

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In the given ...

Question

In the given figures, the sides AB and BC and the median AD of $Δ$ ABC are respectively equal to the sides PQ and QR and median PS of
$Δ$ PQR. Hence $Δ A B C$ and $Δ P Q R$ are right-angled triangles.
If the above statement is true then mention answer as 1, else mention 0 if false.

True

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False

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Solution

The correct option is B False
Given: $A B = P Q, B C = Q R, A D = P S$
To prove : $△ A B C ≅ △ P Q R$
Since, $B C = Q R$
$\frac{1}{2} B C = \frac{1}{2} Q R$
$B D = Q S$ ..(I)
Now, In $△ A B D$ and $△ P Q S$
$A B = P Q$ (given)
$B D = Q S$ (From I)
$A D = P S$ (Given)
thus, $△ A B D ≅ △ P Q S$ (SSS rule)
Hence, $∠ B = ∠ Q$ (By cpct) ...(II)
Now, In $△ A B C$ and $△ P Q R$
$A B = P Q$ (Given)
$B C = Q R$ (Given)
$∠ B = ∠ Q$ (From II)
thus, $△ A B C ≅ △ P Q R$ (SAS rule)

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In the given figures, the sides AB and BC and the median AD of Δ ABC are respectively equal to the sides PQ and QR and median PS ofΔ PQR. Hence ΔABC and ΔPQR are right-angled triangles.If the above statement is true then mention answer as 1, else mention 0 if false.

In the given figures, the sides AB and BC and the median AD of $Δ$ ABC are respectively equal to the sides PQ and QR and median PS of
$Δ$ PQR. Hence $Δ A B C$ and $Δ P Q R$ are right-angled triangles.
If the above statement is true then mention answer as 1, else mention 0 if false.