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Construction of Triangles: When 2 Angles and Included Side Are Given

In PQR , ∠ Q ...

Question

In $△$ PQR , $∠$ Q = 90° and $¯ ¯¯¯¯¯¯ ¯ P Q$ = 15 cm. Which of the following information is needed to construct the triangle?

A

¯ ¯¯¯¯¯¯¯ ¯ Q R

= 8 cm.

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B

¯ ¯¯¯¯¯¯ ¯ P R

= 17 cm.

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C

∠

P = 30°

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D

∠

R = 60°

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Solution

The correct options are
A $¯ ¯¯¯¯¯¯¯ ¯ Q R$ = 8 cm.
B $¯ ¯¯¯¯¯¯ ¯ P R$ = 17 cm.
C $∠$ P = 30°
We can construct a triangle when,
1) Three sides are given (SSS criteria)
2) Two sides and included angle are given (SAS criteria)
3)Two angles and included side are given (ASA criteria)
4) The hypotenuse and one side of a right angled triangle are given. (RHS criteria)

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