Use the given information to determine the exact trigonometric value.
1 answer:
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Answer:
x² + y² = 34
Formula:
- (x - h)² + (y - k)² = r² where (h, k) is the center
<u>Here find the radius using distance formula</u>: → origin : (0, 0)
- √(x2-x1)²+(y2-y1)²
- √(3-0)²+(5-0)²
- √9+25
- √34
<u>Thus the equation of circle</u>:
- (x - 0)² + (y - 0)² = (√34)²
- (x - 0)² + (y - 0)² = 34
- x² + y² = 34
Answer:
Given: Quadrilateral P QR S is a rectangle.
To prove :PR= Q S
Construction : Join PR and Q S.
Proof: In Rectangle PQRS, and
→ taking two triangles PSR and Δ QRS
1. PS = Q R
2. ∠ PS R = ∠ Q RS [Each being 90°]
3. S R is common.
→ ΔP SR ≅ Δ Q RS → [Side-Angle-Side Congruency]
∴ PR =Q S [ corresponding part of congruent triangles ]
Hence proved.
