Question

Due in 10 min help!
Find t.

Answer 1

Given:

A right angle triangle with angles 45, 45, 90 degrees.

Hypotenuse of the triangle =
`7√(2)` mm

Base of the triangle = t

To find:

The value of t.

Solution:

In a right angle triangle,

`\cos \theta=(Base)/(Hypotenuse)`

Using this trigonometric ratio in the given triangle, we get

`\cos (45^\circ)=(t)/(7√(2))`

`(1)/(√(2))=(t)/(7√(2))`

`(7√(2))/(√(2))=t`

`7=t`

Therefore, the value of t is 7 millimetres.