Question

In a right angled Triangle , The measure of the larger angle is twice the smaller angle . .
(Take the measure of small angle to be m.)
With Explaination You have to setan equation and solve it​

Answer 1

Answer:

This statement is false

Explanation:

In a right angled triangle, hypotenuse is the largest side. Take triangle of length 3,4,5 cm here 5 is not equal to 3×2 therefore this is false.

Answer 2

Three angles of triangle are 90°, 30° and 60°

Given:

In a right angled Triangle,

The measure of the larger angle is twice the smaller angle

(Take the measure of small angle to be m)

To find:

Find the remaining angles

Solution:

Given triangle is a right angled Triangle

One of three angles must be 90°

Let small angle is m° then, the large angle is twice the smaller angle

⇒ Largest Angle = 2m°

From above the three angle are 90°, m° and 2m°

We know that sum of three angles in a triangle = 180°

⇒ 90° + m° + 2m° = 180°

⇒ 3m° = 90°

⇒ m° = 90°/3

⇒ m° = 30°

⇒ 2m° = 2(30°) = 60°

Therefore,

Three angles of triangle are 90°, 30° and 60°

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