Question

① ∆ABC is right-angled at A. If AC = 10 cm and AB = 24 cm, find the length of BC. ② Find the value of x in figure 4.

③ ∆PQR is right angled at Q. If PQ = 35cm and PR = 37 cm, then find the

length of QR.

④ ∆ABC is right-angled at B. If AB = 8 cm and BC = 6 cm, find the length

of AC.​

Answer 1

Answer:

1. 26 cm

2. 50.93 cm

3. 10 cm

Step-by-step explanation:

by pythagoras theorem bc^2= ab^2+ac^2

substitute given values to the formula

be aware of hypotenuse

Answer 2

Answer:

Applying Pythagoras theorem,

1) BC = square root( AB square + AC square)

= square root ( 576 + 100)

= square root of 676 = 26 cm

3) QR = square root (PR square - PQ square)

= square root ( 37 square - 35 square)

= square root ( 37+ 35) ( 37-35)

= square root ( 72 * 2) = 12 cm

4) AC = square root ( AB square + BC square)

= square root ( 8 square + 6 square)

= square root ( 64+36)

= square root of 100 = 10 cm.