Question

In the following figures, find the sides marked x and y.
icse mathematics IX
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Answer 1

Answer:

( i ) x = 65 and y = 33

Step-by-step explanation:

here ,

angle ABC is 90 °

so , AC sq . = BC sq. + AB sq. ( Pythagoras theorem)

i . e. (x) sq. = (16) sq. + (63 ) sq .

you will get (x)sq. = 4225

x = Root 4225

x = 65

Now ,

also triangle ACD is aright angled triangle

so ,

AC sq. = CDsq. + AD sq.

(65)sq. = (y) sq. + (56 ) sq

you will get ,

4225 = (y) sq. + 3136

4225 - 3136 = (y) sq.

therefore , (y ) sq. = 1089

NOTE : similarly u can solve question (ii) and (iii)

And plz let me know if this is helpful to u .

y = 33