Chapter 10: Q8. (page 378)

Draw any obtuse $Δ O B T$ . Use the $S S S$ method to construct a triangle congruent to $Δ O B T$ .

Short Answer

Expert verified

By $S S S$ congruency $Δ O B T ≅ Δ P Q R$ .

Step by step solution

Step 1. Given information.

An obtuse $Δ O B T$ is given.

Step 2. Draw the obtuse triangle.

Obtuse $Δ O B T$ is drawn below.

Here, $Δ O B T$ is an obtuse triangle as $∠ O B T > 90 °$ .

Step 3. Concept used.

According to $S S S$ 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.

Step 4. Construct the congruent triangle.

Construct $Δ P Q R$ such that $P Q ≅ O B, P R ≅ O T, Q R ≅ B T$ .

So,

$Δ O B T ≅ Δ P Q R$ (by $S S S$ congruence criteria)

Therefore,by $S S S$ congruency $Δ O B T ≅ Δ P Q R$ .

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Draw any obtuse $Δ O B T$ . Use the $S S S$ method to construct a triangle congruent to $Δ O B T$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Draw the obtuse triangle.

Step 3. Concept used.

Step 4. Construct the congruent triangle.

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Draw any obtuse ΔOBT. Use the SSS method to construct a triangle congruent to ΔOBT.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Draw the obtuse triangle.

Step 3. Concept used.

Step 4. Construct the congruent triangle.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Study anywhere. Anytime. Across all devices.

Draw any obtuse $Δ O B T$ . Use the $S S S$ method to construct a triangle congruent to $Δ O B T$ .