Question

ΔRST, RS = 5 cm, and ∠SRT = 45° and ∠RST = 45°. Which criterion can be used to construct ΔRST? *​

Answer 1

Answer:

asa

Step-by-step explanation:

there is two angles and one side then we use asa criteria

Answer 2

Answer: (b) A-S-A

Step-by-step explanation:

(Correction: The correct value of ∠SRT and ∠RST is45° each)

We have,

RS = 5 cm

∠SRT = ∠RST = 45°

∵ ∠SRT and ∠RST have the same angles

Then, ∠RTS = 180° - (∠SRT + ∠RST)° = 180° (45° + 45°) = 180° - 90° = 90°

∴ ΔRST is a right-angled Δ

Since we have the measurement of the hypotenuse (RS = 5 cm) as well as the angles placed on RS (∠SRT = ∠RST = 45°), we can use the A-S-A or the Angle-Side-Angle criterion of construction to create ΔRST.

Ans) (b) A-S-A