Draw a triangle ABC- with AC - 4 cm- BC - 3 cm and ang-C - 105 deg- Measure AB- Is -AB-2 - -AC-2 - -BC-2- If not- which one of the following is true-AB-2 gt- -AC-2 - -BC-2 or -AB-2 lt- -AC-2 - -BC-2-

Draw #9651;ABC.Draw a line BC = 3 cm.At point C, draw a line at 105 #176; angle with BC.Take an arc of 4 cm from point C, which will cut the line at point ...

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Standard VII

Mathematics

Construction of Triangles Given 2 Angles and Included Side

Draw a triang...

Question

Draw a triangle ABC, with AC = 4 cm, BC = 3 cm and ∠C = 105°. Measure AB. Is (AB)² = (AC)² + (BC)²? If not, which one of the following is true:
(AB)² > (AC)² + (BC)² or (AB)² < (AC)² + (BC)²?

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Solution

Draw $△ A B C$ .
Draw a line BC = 3 cm.
At point C, draw a line at 105 $°$ angle with BC.
Take an arc of 4 cm from point C, which will cut the line at point A.
Now, join AB, which will be approximately 5.5 cm.
$A C^{2} + B C^{2} = 4^{2} + 3^{2} = 9 + 16 = 25 A B^{2} = 5 . 5^{2} = 30.25$

(AB)² $\neq$ (AC)² + (BC)²

Here,

(AB)² > (AC)² + (BC)²

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Q. Draw a triangle ABC, with AC = 4 cm, BC = 3 cm and ∠C = 105°. Measure AB. Is (AB)² = (AC)² + (BC)²? If not, which one of the following is true:
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Draw a triangle ABC, with AC = 4 cm, BC = 3 cm and ∠C = 105°. Measure AB. Is (AB)2 = (AC)2 + (BC)2? If not, which one of the following is true: (AB)2 > (AC)2 + (BC)2 or (AB)2 < (AC)2 + (BC)2?

Draw △ABC.Draw a line BC = 3 cm.At point C, draw a line at 105° angle with BC.Take an arc of 4 cm from point C, which will cut the line at point A.Now, join AB, which will be approximately 5.5 cm.AC2+BC2=42+32=9+16=25AB2=5.52=30.25(AB)2 ≠ (AC)2 + (BC)2Here,(AB)2 > (AC)2 + (BC)2

Draw a triangle ABC, with AC = 4 cm, BC = 3 cm and ∠C = 105°. Measure AB. Is (AB)² = (AC)² + (BC)²? If not, which one of the following is true:
(AB)² > (AC)² + (BC)² or (AB)² < (AC)² + (BC)²?