Question

In a right angle triangle ABC
angle B =90°
(a) if AB = 6cm; BC = 8cm find AC

(b) if AC = 13cm; BC = 5cm find AB ​

Answer 1

Step-by-step explanation:

(a) b^2=a^2+c^2

b^2=8^2+6^2

b^2=64+36

b^2=100

By taking square root on both sides.

AC= 10 cm.

(b)

b^2=a^2+c^2

13^2=5^2+c^2

169=25+c^2

c^2=169-25

c^2=144

By taking square root on both sides.

AB=12 cm.

Answer 2

Given:-

• A right angle triangle ABC, angle B = 90°
• AB = 6cm and BC = 8cm

To find:-

• Find the AC. ...?

Solutions:-

• ∆ABC is right angle at B.

Therefore,

By using Pythagoras theorem.

⟹ AC² = AB² + BC²

⟹ AC² = (6)² + (8)²

⟹ AC² = 36 + 64

⟹ AC² = 100

⟹ AC = √100

⟹ AC = 10cm.

Hence, the right angle triangle ABC, AC is 10cm.

Given:-

• A right angle triangle ABC, angle B = 90°
• Ac = 13cm and BC = 5cm

To find:-

• Find the AB. ...?

Solutions:-

• ∆ABC is right angle at B.

Therefore,

By using Pythagoras theorem.

⟹ AC² = AB² + BC²

⟹ (13)² = AB² + (5)²

⟹ 169 = AB² + 25

⟹ AB² = 169 - 25

⟹ AB² = 144

⟹ AB = √144

⟹ AB = 12cm.

Hence, the right angle triangle ABC, AB is 12cm.