Question

HELP WITH GEO 50 POINTS
explain it in simple terms pls

Answer 1

Step-1. Find the missing angle

We know that:

• Sum of the angles of the triangle = 180°

This means that:

• 45 + x + 90 = 180°

Now, let's simplify the equation to find the missing angle.

• x + 135 = 180°
• x + 135 - 135 = 180 - 135
• x = 45°

Thus, the missing angle is 45°.

Step-2. Finding "y"

Classifying the triangle:

• In the triangle, we see that the base angles are the same. This means that the triangle is isosceles.

~No further explanation about the triangle is required~

Finding the measure of y:

• Since the triangle is isosceles, the length of y is 7 units because the legs of the isosceles triangle are equal.

Step-3: Finding "x"

To find "x", we need to use Pythagoras theorem.

Formula: c² = b² + a²

• c = largest side (x)
• b = leg side (7)
• a = leg side (7)

Using Pythagoras theorem:

• (x)² = (7)² + (7)²
• (x)² = 49 + 49
• (x)² = 98
• x = √98 = √49 × 2 = 7√2 ≈ 9.89 ≈ 9.9 (Nearest tenth)

Conclusion:

• y = 7
• x = 9.9 (Nearest tenth)

Answer 2

see explanation

Explanation:

The missing angle is 45°, thus the right triangle is isosceles.

Then the 2 sides y and 7 are congruent.

Hence y = 7

Using Pythagoras' identity to calculate x

x² = 7² + 7² = 49 + 49 = 98

Take the square root of both sides

x =
`√(98)` =
`√(49(2))` = 7
`√(2)` ≈ 10