Question

SMART STUDENT PLEASEEEE​

Answer 1

Therefore,

`BC=y=10.61\ units\\\\AC=x=8.6\ units`

Explanation:

Consider a Δ ABC with

m∠ B= 45°

m∠ C = 90°

AB = c = 15 cm

To Find:

BC = a = y ?

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

`\angle A+\angle B+\angle C=180\\\\\angle B +35+90+=180\\\therefore m\angle A =180-125=55\°`

We know in a Triangle Sine Rule Says that,

In Δ ABC,

`(a)/(\sin A)= (b)/(\sin B)= (c)/(\sin C)`

substituting the given values we get

`(a)/(\sin 55)= (b)/(\sin 35)= (15)/(\sin 90)`

∴
`(y)/(\sin 55)= (15)/(1)\\\\y=\sin 55* 15\\\\y=10.606\\\therefore BC = y = 10.61\ units`

Similarly for 'x',

`(x)/(\sin 35)= (15)/(1)`

`\therefore x =\sin 35* 15\\\therefore x =0.5735* 15\\\therefore x =8.6\\`

Therefore,

`BC=y=10.61\ units\\\\AC=x=8.6\ units`