The length of the line segment SR is 15 units ⇒ 3rd answer
Step-by-step explanation:
Let us revise the rules in the right angle triangle when we draw the perpendicular from the right angle to the hypotenuse
In triangle ABC
Angle B is a right angle and AC is the hypotenuse
BD ⊥ AC ⇒ perpendicular from the right angle to the hypotenuse
In Δ SRQ
∵ ∠SRQ is a right angle
∴ SQ is the hypotenuse
∵ RT ⊥ SQ
- By using the rules above
∴ (RQ)² = TQ × SQ
∵ RQ = 20 units and TQ = 16 units
- Substitute these values in the rule above
∴ (20)² = 16 × SQ
∴ 400 = 16 × SQ
- Divide both sides by 16
∴ SQ = 25 units
By using Pythagoras theorem in Δ SRQ
∵ (SR)² + (RQ)² = (SQ)²
∵ RQ = 20 units and SQ = 25 units
- Substitute these values in the rule above
∴ (SR)² + (20)² = (25)²
∴ (SR)² + 400 = 625
- Subtract 400 from both sides
∴ (SR)² = 225
- Take √ for both sides
∴ SR = 15 units
The length of the line segment SR is 15 units
Learn more:
You can learn more about right triangles in brainly.com/question/1238144
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Answer: C. 15 units
Step-by-step explanation: I took the test on edge
