Question

iii) In a triangle, right angled at A,
AB = 90°cm and AC=12cm. If AD is perpendicular to BC, then AD=

a) 13/2cm

b) 60/13cm

c) 13/60cm

d) 2/13cm​

Answer 1

• Area of triangle=1/2* base * height

• given, ABC,angle

• A=90° AB=5cm,AC=12cm,AD=?

• We know that,
• BC²= AB²+AC²

→ BC² =5² +12²

→ BC² =169cm²

→ BC = √169

→ BC = 13

Therefore,

• ar(ABC)=1/2 x AC × AB

→ 1/2x5x12cm

→ (5x6)cm^=30cm

Since,

• Area (ABC) = 1/2* BC * AD

→ 30 =13/2xAD

→ AD = 60/13 $\sf$

Hence,

• option (b) is right