Question

( If cis the hypotenuse of a right triangle whose other
two sides are a and b, find c if:
(a) a = 10 cm and b = 24 cm.
(b) a = 9 cm and b= 12 cm.
(c) a= 2.5 m and b = 6 m
(d) a= 3.5 dm and b= 12 dm.​

Answer 1

BY PYTHAGORAS THEORY :-

1.(base)²= (hypotenuse)²-(perpendicular)²

2.(perpendicular)²= (hypotenuse)²-(base)²

3.(hypotenuse)²= (base)²+(perpendicular)²

To find :- hypotenuse

A.) a = 10 cm and b = 24 cm.

(hypotenuse)²= (10)²+(24)²

(hypotenuse)²= 100+576

(hypotenuse)²= 676

hypotenuse= √676

Answer :- 26 cm

(b) a = 9 cm and b= 12 cm.

(hypotenuse)²= (9)²+(12)²

(hypotenuse)²= 81+144

(hypotenuse)²= 225

hypotenuse= √225

Answer :- 15 cm

(c) a= 2.5 m and b = 6 m

(hypotenuse)²= (2.5)²+(6)²

(hypotenuse)²= 6.25+36

(hypotenuse)²= 42.25

hypotenuse= √42.25

Answer :- 6.5m

(d) a= 3.5 dm and b= 12 dm.

(hypotenuse)²= (3.5)²+(12)²

(hypotenuse)²= 12.25+144

(hypotenuse)²= 156.25

hypotenuse= √156.25

Answer :- 12.5dm

thanks