∆AMT~∆AHE, In ∆AMT , AM=6.3cm, angle MAT =120° and AT = 4.9cm and MA/HA= 7/5 Construct ∆AHE.
Answers
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Given : ∆AMT~∆AHE AM=6.3cm, ∠MAT =120° , AT = 4.9cm and MA/HA= 7/5
To find : Construct ∆AHE.
Solution:
As we have been asked to construct ΔAHE
we will construct directly ΔAHE if sides length are in measurable form
∆AMT~∆AHE
AM/AH = AT/AE
=> 6.3/AH = 4.9/AE = 7/5
=> AH = 4.5 cm & AE = 3.5 cm
∠MAT = 120° => ∠HAE = 120°
Step 1 : Draw a line segment AH
Step 2 : Draw an angle of 120° at A on HA using protrector
Step 3: Take a length of 3.5 cm at angle drawn in step 2 from A and label it E
Step 4 : join HE
ΔAHE is constructed ≈ Δ AMT
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