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 = $7\sqrt{2}$ mm

Base of the triangle = t

To find:

The value of t.

Solution:

In a right angle triangle,

$\cos \theta=\dfrac{Base}{Hypotenuse}$

Using this trigonometric ratio in the given triangle, we get

$\cos (45^\circ)=\dfrac{t}{7\sqrt{2}}$

$\dfrac{1}{\sqrt{2}}=\dfrac{t}{7\sqrt{2}}$

$\dfrac{7\sqrt{2}}{\sqrt{2}}=t$

$7=t$

Therefore, the value of t is 7 millimetres.