Suggested languages for you:

Americas

Europe

Q8.

Expert-verifiedFound in: Page 378

Book edition
Student Edition

Author(s)
Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages
227 pages

ISBN
9780395977279

**Draw any obtuse $\Delta OBT$. Use the $SSS$ method to construct a triangle congruent to $\Delta OBT$.**

By $SSS$** **congruency $\Delta OBT\cong \Delta PQR$.

An obtuse $\Delta OBT$ is given.

Obtuse** $\Delta OBT$** is drawn below.

Here, $\Delta OBT$ is an obtuse triangle as $\angle OBT>90\xb0$.

According to $SSS$ congruence criteria,

if all the sides of one triangle are congruent to the corresponding sides of other triangle,

then the two triangles are said to be congruent.

Construct $\Delta PQR$ such that $PQ\cong OB,\u200aPR\cong OT,\u200aQR\cong BT$.

So,

$\Delta OBT\cong \Delta PQR$ (by $SSS$ congruence criteria)

Therefore,** **by $SSS$** **congruency $\Delta OBT\cong \Delta PQR$.

94% of StudySmarter users get better grades.

Sign up for free