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Answers
Answer:
why
Step-by-step explanation:
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Answer:
8. Let's draw the triangle (See file attached below, I used ms paint for the figure)
Let AB be 12 cm, and AC be 13 cm.
Using Pythagoras theorem:
AB²+BC²=AC²
12²+BC²=13²
BC²=13²-12²
BC²=169-144
BC²=25
BC=√25
BC=5 cm.
The other leg of the triangle is 5 cm.
9.
(i) We know that the sum of angles of a triangle is 180°. Hence, if ∠P+∠Q+∠R=180°, PQR is a triangle.
65+35+70=180
170≠180
Since the sum of the angles of PQR are not equal to 180°, PQR is not a triangle.
(ii) We know that sum of two sides of a triangle should be greater than the third side. Or, we have to prove:
XY+YZ>ZX
5+5>12
10<12
But, XY+YZ<ZX, in other words, the sum of two sides of a triangle is not greater than the third side. Thus, XYZ is not a triangle.