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Answers
Answer:
Step-by-step explanation:
5) sum of measure of all angle of triangle is 180
take any three angles
m<a +m<b+ m<c =180°
take all angles as x
x+x+x = 180
3x =180°
x=60
so, all the angles of triangle are 60°
6) Side BA is produced to D such that AD = AB
(see Fig. 7.34). Show that 2 BCD is a right angle
7) We know that,
(a + b + c)²
= a² + b² + c² + 2ab + 2bc + 2ca
Now,
(2x - y + z)²
= {2x + (- y) + z}²
= (2x)² + (- y)² + (z)² + {2 × 2x × (- y)} + (2 × 2x × z) + {2 × (- y) × z}
= 4x² + y² + z² - 4xy + 4xz - 2yz,
which is the required expansion.
9)Let first side be 3x
Let second side be 5x
Let third side be 7x
Perimeter= 300
Therefore,
3x + 5x + 7x = 300
8x + 7x = 300
15x = 300
x = 300/ 15
x= 20
Therefore, the value of x= 20
1st side= 3x = 3× 20 = 60
2nd side= 5x = 5× 20 = 100
3rd side = 7x = 7× 20 = 140
10)Given - Each side of the equilateral triangle = 6 cm
Area of the equilateral triangle = √3/4 × a² (Where a = side of the equilateral triangle)
⇒ √3/4 × (6)²
⇒ (1.732 × 36)/4
⇒ 1.732 × 9
⇒ 15.588 cm²
So, the area of given equilateral triangle is 15.588 cm²
so bro could not help u with the 8th one
if the answers has helped u please mark me as brainliest
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