Question

EXERCISE 15.5
Constructa right triangle with hypotenuse of length 6 cm and one side of length 5 cm.
Constructa right triangle whose hypotenuse is of length 5 cm and one side is of length 5 cm
with construction
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Answer 1

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Answer 2

According To The Question⤵️

Construct a right-angled triangle with hypotenuse of length 6 cm and one side of length 5 cm.

Step-By-Step Construction⭕

Step 1️⃣: Hypotenuse = 6 cm

Base = 5 cm

Height = ❓

By Pythagoras' Theorem〽️

${ab}^{2} + {bc}^{2} = {ac}^{2}$

${ab}^{2} + {5}^{2} = {6}^{2}$

${ab}^{2} + 25 = 36$

${ab}^{2} = 36 - 25$

${ab}^{2} = 9$

$ab = \sqrt{9}$

$ab = 3 \: cm$

Hence...

Step 2️⃣: Hypotenuse = 6 cm

Base = 5 cm

Height = 3 cm

.....For Construction, see the Attachment...

Steps Of Construction:

1️⃣ Draw a line segment BC of 5 cm.

2️⃣ Construct an angle of 90° using Compass and Scale OR Protractor.

3️⃣ Extend The Line Of 90° angle.

4️⃣ Take 3 cm length on Compass and then cute the extended line segment. Mark that point A to get line segment AB.

5️⃣ Join AC.

✅ THIS IS THE REQUIRED RIGHT ANGLED TRIANGLE.

Hope It Helps❕

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