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Pavel [41]
3 years ago
12

Due in 10 min help! Find t.

Mathematics
1 answer:
lys-0071 [83]3 years ago
8 0

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.

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