Question

The difference between altitude and base of a right angled triangle is 17 cm and its hypotenuse is 25 cm. 18. What is the sum of the base and altitude of the triangle is ?

a. 31 cm
b. 24 cm
c. 34 cm
d. None of these

Answer 1

To find the sum of the base and altitude of a right-angled triangle, we can use the Pythagorean theorem.

Step-by-step explanation:

The sum of the base and altitude of a right-angled triangle can be found using the Pythagorean theorem. According to the given information, the difference between the altitude and base is 17 cm and the hypotenuse is 25 cm. Let's assume the altitude is a and the base is b.

Using the Pythagorean theorem, we can write the equation as a^2 + b^2 = 25^2.

We also know that a - b = 17.

Solving these two equations simultaneously, we can find the values of a and b. Once we have the values, we can calculate the sum of a and b to get the answer.

Therefore answer is d. None of these.