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Construction of Isosceles Triangle Whose Base and Corresponding Altitude Are Given

The base and ...

Question

The base and altitude of an isosceles triangle PQR is given by 8cm and 12cm.Then the length of one of the equal side is equal to:

12cm

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10cm

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8cm

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6cm

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Solution

The correct option is B 10cm
By the given data, PR=12cm and QS=8cm,
Since QS is the perpendicular bisector of PR, PS=6cm.
Therefore QPS is a right-angled triangle with PS=6cm and QS=8cm. Therefore PQ=10cm(Pythagorian triplet).

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The base and altitude of an isosceles triangle PQR is given by 8cm and 12cm.Then the length of one of the equal side is equal to:

The correct option is B 10cmBy the given data, PR=12cm and QS=8cm, Since QS is the perpendicular bisector of PR, PS=6cm. Therefore QPS is a right-angled triangle with PS=6cm and QS=8cm. Therefore PQ=10cm(Pythagorian triplet).

The correct option is B 10cm
By the given data, PR=12cm and QS=8cm,
Since QS is the perpendicular bisector of PR, PS=6cm.
Therefore QPS is a right-angled triangle with PS=6cm and QS=8cm. Therefore PQ=10cm(Pythagorian triplet).