The sides of certain triangle are (a - 1) cm, 2√a cm, (a+1) Determine whether the triangle is a right triangle.
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Answers
Answered by
0
Answer:
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Step-by-step explanation:
Answer
AB=(a−1)cm,BC=2
a
cm,CA=(a+1)cm
Hence, AB
2
=(a−1)
2
=a
2
+1−2a
BC
2
=(2
a
)
2
=4a
AC
2
=(a+1)
2
=a
2
+1+2a
AB
2
+BC
2
=a
2
+1−2a+4a
AB
2
+BC
2
=a
2
+1+2a
∴ AC
2
=AB
2
+BC
2
So, △ABC is a right-angled triangle
Answered by
1
Step-by-step explanation:
Given
Sides of triangle:
(a - 1) cm, 2√a cm, (a+1)
For the triangle to be a right-angled triangle,
It should satisfy the pythagorean theorem.
(a-1)² + (2√a)²
= a² +1 - 2a + 4a
= a² + 2a + 1
= (a+1)²
Because, (a-1)² +( 2√a)² = p²+b² = (a+1)² = h²
Hence, It is a right angled triangle.
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