Question

IN A RIGHT TRIANGLE ABC RIGHT ANGLED AT C IF AB=26 BC=10 THEN FIND AC

Answer 1

Answer:-

Given:-

• △ ABC is a right angled △at ∠C.
• AB = 26 units
• BC = 10 units

To Find:-

Measurement of AC.

______________...

(See attachment for clearing doubts. It will help you in understanding the question better.)

∴ Hypotenuse = AB = 26 units

Base = BC = 10 units

Altitude = AC = ? units

We know,

Pythagoras Theorem,

c² = a² + b²

where,

• c = Hypotenuse,
• a, b = Altitude and base respectively.

According to the Question:-

AB² = BC² + AC²

⟹ AC² + BC² = AB²

⟹ AC² = AB² - BC²

⟹ AC² = (26)² - (10)²

⟹ AC² = 676 - 100

⟹ AC² = 576

⟹ AC = √576

⟹ AC = 24 units

∴ Length of AC was 24 units.

Verification:-

(Not Required)

LHS:-

AB²

= (26)²

= 676

RHS:-

BC² + AC²

= (24)² + (10)²

= 576 + 100

= 676

✬ LHS = RHS ✬

Answer 2

Answer:

24cm

Step-by-step explanation:

AB²+BC²=AC²

ΑΒ²=AC²−BC²

ΑΒ²=(26)²−(10)²

ΑΒ²=(26–10)(26+10)

AB²=16*36

AB=√16×36

ΑΒ=4×6

ΑΒ=24cm

HOPE THIS HELPS