Question

In a right triangle, if one angle is 45 degrees and the hypotenuse is 12cm long, how long are the other sides of the triangle? a. Both sides are 8.48 cm long b. Both sides are 4.24 cm long c. 8 cm and 4 cm d. unknown

Answer 1

Answer:

Draw a right angle triangle ABC.

Angle B=90*

angle A=45*

Angle C = 180 - (90+ 45)

angle C = 45*

since angle A=angle C= 45*

therefore triangle ABC is a isocesles triangle,

let hypotenuse BC=12 cm

let other two sides be equal:AB=AC=x

by using pythagoras theorem,

BC^2 = AB^2 + AC^2

12^2 = x^2 + x^2

144 = 2 x^2

x^2 =144/2

x^2 = 72

take a square root of 72. Then u wil get the vale of x=8.5 cm

hope it helps .