Please help me with the steps on solving this please would help a lot..
1 answer:
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Answer:
x = 2
Step-by-step explanation:
We can use the sine or cosine ratio to solve for x
Using the cosine ratio in the right triangle and the exact value
cos45° = , then
cos45° = =
=
( cross- multiply )
2x = ×
=
= 4 ( divide both sides by 2 )
x = 2
Answer: The length of the hypotenuse is 26 cm
Step-by-step explanation: Please refer to the attached diagram
The triangle ABC is drawn as described such that the right angle is at point C and line AB is the hypotenuse which is yet unknown.
Since we have a right angled triangle with two sides known and one unknown, we can apply the Pythagoras theorem which states that
AC² = AB² + BC² where AC is the hypotenuse and AB and BC are the other two sides
In this question the hypotenuse is AB, so we now have;
AB² = AC² + CB²
AB² 24² + 10²
AB² = 576 + 100
AB² = 676
Add the square root sign to both sides of the equation
√AB² = √676
AB = 26
Therefore the length of the hypotenuse is 26 cm
